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Publications

De Cadedif

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== Publicaciones 2002  ==
== Publicaciones 2002  ==
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#J. M. Arrieta, N. Consul, A. Rodríguez-Bernal “Pattern Formation from boundary reaction”  
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#J. M. Arrieta, N. Consul, A. Rodríguez-Bernal “Pattern Formation from boundary reaction” Fields Inst. Commun., 31, pp. 13-18, Amer. Math. Soc., Providence, RI, (2002).
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Fields Inst. Commun., 31, pp. 13-18, Amer. Math. Soc., Providence, RI, (2002).  
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#X. Biao Lin, I. Bosch “Heteroclinic and periodic cycles in a perturbed convection model” Journal of Differential Equations 182 pp. 219-265 (2002)
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#X. Biao Lin, I. Bosch “Heteroclinic and periodic cycles in a perturbed convection model” Journal of Differential Equations 182 pp. 219-265 (2002)
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R. Ferreira, P. Groisman y J. D. Rossi,  “Numerical Blow-up for a nonlinear problem with a nonlinear  boundary condition” Math. Models and Methods in Applied Sciences, 12, 461--483, 2002
 
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R. Ferreira, V. A. Galaktionov y J. L. Vázquez, “Uniqueness of Asymptotic Profiles for and extinction Problem” Nonlinear Analysis T. M. A., 50, 495--507, 2002
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#R. Ferreira, P. Groisman y J. D. Rossi, “Numerical Blow-up for a nonlinear problem with a nonlinear boundary condition” Math. Models and Methods in Applied Sciences, 12, 461--483, 2002
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R. Ferreira, F. Quiros y J. D. Rossi  “The balance between nonlinear inwards and outwards boundary-flux for nonlinear heat equations” Journal of Differential Equation, 184, 259--282, 2002
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R. Ferreira, V. A. Galaktionov y J. L. Vázquez, “Uniqueness of
 +
Asymptotic Profiles for and extinction Problem” Nonlinear Analysis T.
 +
M. A., 50, 495--507, 2002
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A. Jiménez-Casas and A. Rodríguez-Bernal. Asymptotic behaviour for a phase field model in higher order Sobolev spaces. Rev. Mat. Complut., 15(1):213-248, 2002.
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R. Ferreira, F. Quiros y J. D. Rossi  “The balance between nonlinear
 +
inwards and outwards boundary-flux for nonlinear heat equations”
 +
Journal of Differential Equation, 184, 259--282, 2002
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A. Rodríguez-Bernal. Some qualitative dynamics of nonlinear boundary conditions. Internat. J. Bifur. Chaos Appl. Sci. Engrg., 12(11):2333-2342. Spatio-temporal complexity. (2002)
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A. Jiménez-Casas and A. Rodríguez-Bernal. Asymptotic behaviour for a
 +
phase field model in higher order Sobolev spaces. Rev. Mat. Complut.,
 +
15(1):213-248, 2002.
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A. Rodríguez-Bernal. Attractors for parabolic equations with nonlinear boundary conditions, critical exponents, and singular initial data. J. Differential Equations, 181(1):165-196, 2002.
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A. Rodríguez-Bernal. Some qualitative dynamics of nonlinear boundary
 +
conditions. Internat. J. Bifur. Chaos Appl. Sci. Engrg.,
 +
12(11):2333-2342. Spatio-temporal complexity. (2002)
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R. Dager, E. Zuazua “Spectral boundary controllability of networks of strings”, C.R. Acad. Sci. Paris, Serie I, 334 (7), 545-550, (2002)
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A. Rodríguez-Bernal. Attractors for parabolic equations with nonlinear
 +
boundary conditions, critical exponents, and singular initial data. J.
 +
Differential Equations, 181(1):165-196, 2002.
 +
 
 +
R. Dager, E. Zuazua “Spectral boundary controllability of networks of
 +
strings”, C.R. Acad. Sci. Paris, Serie I, 334 (7), 545-550, (2002)
== Publicaciones 2003  ==
== Publicaciones 2003  ==
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J. Fernández Bonder, R. Ferreira y J. D. Rossi,  “Uniform bounds for the best Sobolev trace constant” Advanced Nonlinear Studies, 3, 181--192, 2003
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J. Fernández Bonder, R. Ferreira y J. D. Rossi,  “Uniform bounds for
 +
the best Sobolev trace constant” Advanced Nonlinear Studies, 3,
 +
181--192, 2003
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R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “The blow-up profile for a fast diffusion equation with a nonlinear  boundary condition” Rocky Mountain J. Math, 33, 123--146, 2003
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R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “The blow-up
 +
profile for a fast diffusion equation with a nonlinear  boundary
 +
condition” Rocky Mountain J. Math, 33, 123--146, 2003
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R. Ferreira y J. L. Vázquez “Study of self-similarity for the fast difusión equation”
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R. Ferreira y J. L. Vázquez “Study of self-similarity for the fast
 +
difusión equation”
Advances in Differential Equations, 8, 1125--1152, 2003
Advances in Differential Equations, 8, 1125--1152, 2003
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R. Ferreira, P. Groisman y J. D. Rossi , “An adaptive numerical scheme for a parabolic problem with blow-up” IMA Journal of Numerical Análisis, 23, 439--463, 2003
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R. Ferreira, P. Groisman y J. D. Rossi , “An adaptive numerical scheme
 +
for a parabolic problem with blow-up” IMA Journal of Numerical
 +
Análisis, 23, 439--463, 2003
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M. Negreanu, E. Zuazua, “Uniform boundary controllabillity of a discrete 1-D wave equation” , System and Control Letters, 48, Issues 3-4 pp 261-279 (2003)
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M. Negreanu, E. Zuazua, “Uniform boundary controllabillity of a
 +
discrete 1-D wave equation” , System and Control Letters, 48, Issues
 +
3-4 pp 261-279 (2003)
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M. Negreanu, E. Zuazua,  “A 2-d grid algorithm for the 1-d wave equation” Proceedings of the Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, Physcis and Astronomy,  pp. 213-217, Springer  (2003)
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M. Negreanu, E. Zuazua,  “A 2-d grid algorithm for the 1-d wave
 +
equation” Proceedings of the Sixth International Conference on
 +
Mathematical and Numerical Aspects of Wave Propagation, Waves 2003,
 +
Physcis and Astronomy,  pp. 213-217, Springer  (2003)
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R. Rodríguez del Río, E. Zuazua, “Series de Fourier y fenómeno de Gibbs”, Cubo Matemática Eduacional, 5 pp. 185-224 (2003)
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R. Rodríguez del Río, E. Zuazua, “Series de Fourier y fenómeno de
 +
Gibbs”, Cubo Matemática Eduacional, 5 pp. 185-224 (2003)
== Publicaciones 2004  ==
== Publicaciones 2004  ==
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J.M. Arrieta  "El Cálculo y la Modelización Matemática", en R. Rodríguez, E. Zuazua, De la Aritmética al Análisis: Historia y Desarrollo reciente en Matemáticas, Aulas de Verano, Instituto Superior de Formación del Profesorado, Ministerio de Educación y Ciencia,
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J.M. Arrieta  "El Cálculo y la Modelización Matemática", en R.
 +
Rodríguez, E. Zuazua, De la Aritmética al Análisis: Historia y
 +
Desarrollo reciente en Matemáticas, Aulas de Verano, Instituto
 +
Superior de Formación del Profesorado, Ministerio de Educación y
 +
Ciencia,
pp 11-57 (2004)
pp 11-57 (2004)
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J. M. Arrieta, A.N. Carvalho  "Spectral Convergence and Nonlinear Dynamics for Reaction-Diffusion Equations under Perturbations of the Domain" Journal of Diff.  Equations 199, pp. 143-178 (2004)
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J. M. Arrieta, A.N. Carvalho  "Spectral Convergence and Nonlinear
 +
Dynamics for Reaction-Diffusion Equations under Perturbations of the
 +
Domain" Journal of Diff.  Equations 199, pp. 143-178 (2004)
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J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Asymptotic Behavior and Attractors for Reaction Diffusion Equations in Unbounded Domains" Nonlinear Analysis, 56, pp. 515-554  (2004)  
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J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal,
 +
"Asymptotic Behavior and Attractors for Reaction Diffusion Equations
 +
in Unbounded Domains" Nonlinear Analysis, 56, pp. 515-554  (2004)  
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J. M. Arrieta, N. Consul, A. Rodríguez-Bernal, "Stable boundary layers in a diffusion problem with nonlinear reaction at the boundary"  Z.. Angew. Math. Phys. 55, pp. 1-14 (2004)  
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J. M. Arrieta, N. Consul, A. Rodríguez-Bernal, "Stable boundary layers
 +
in a diffusion problem with nonlinear reaction at the boundary"  Z..
 +
Angew. Math. Phys. 55, pp. 1-14 (2004)  
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J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Linear parabolic equations in locally uniform spaces" Mathematical Models and Methods in Applied Sciences, 14, n. 2,  253-294 (2004)
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J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal,
 +
"Linear parabolic equations in locally uniform spaces" Mathematical
 +
Models and Methods in Applied Sciences, 14, n. 2,  253-294 (2004)
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J. M. Arrieta, A. Rodríguez-Bernal and P. Souplet, "Boundedness of Global Solutions for Nonlinear Parabolic Equations involving Gradient Blow-up Phenomena"  Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. Issue 1, Volume 3/2004, Series 5,  pp 1-15,  (2004)  
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J. M. Arrieta, A. Rodríguez-Bernal and P. Souplet, "Boundedness of
 +
Global Solutions for Nonlinear Parabolic Equations involving Gradient
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Blow-up Phenomena"  Annali della Scuola Normale Superiore di Pisa,
 +
Classe di Scienze. Issue 1, Volume 3/2004, Series 5,  pp 1-15,  (2004)  
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J. M. Arrieta, A. Rodríguez-Bernal "Localization on the boundary of blow-up for reaction-diffusion equations with nonlinear boundary conditions" Communications in Partial Differential Equations 29, 7&8, pp. 1127-1148 (2004)  
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J. M. Arrieta, A. Rodríguez-Bernal "Localization on the boundary of
 +
blow-up for reaction-diffusion equations with nonlinear boundary
 +
conditions" Communications in Partial Differential Equations 29, 7&8,
 +
pp. 1127-1148 (2004)  
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J.M. Arrieta, A. Rodríguez-Bernal "Non well posedness of parabolic equations with supercritical nonlinearities" Communications in Contemporary Mathematics 6,  n 5,  pp.  733-764 (2004)
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J.M. Arrieta, A. Rodríguez-Bernal "Non well posedness of parabolic
 +
equations with supercritical nonlinearities" Communications in
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Contemporary Mathematics 6,  n 5,  pp.  733-764 (2004)
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E. Chasseigne y R.Ferreira, “Monotone approximations of Green functions” Comptes Rendus Mathématique. Académie des Sciences. Paris, 339, 395--400, 2004
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E. Chasseigne y R.Ferreira, “Monotone approximations of Green
 +
functions” Comptes Rendus Mathématique. Académie des Sciences. Paris,
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339, 395--400, 2004
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R. Ferreira, P. Groisman y J. D. Rossi., “Numerical blow-up for the porous medium equation with a source” Numerical Methods for Partial Differential Eq, 20, 552--575, 2004
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R. Ferreira, P. Groisman y J. D. Rossi., “Numerical blow-up for the
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porous medium equation with a source” Numerical Methods for Partial
 +
Differential Eq, 20, 552--575, 2004
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R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Superfast quenching” Journal Differential Equations, 199, 189--209, 2004
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R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Superfast
 +
quenching” Journal Differential Equations, 199, 189--209, 2004
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M. Negreanu, E. Zuazua “Discrete Ingham inequalities and applications”, CRAS Paris, Serie I. Math 338 pp 281-286 (2004)
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M. Negreanu, E. Zuazua “Discrete Ingham inequalities and
 +
applications”, CRAS Paris, Serie I. Math 338 pp 281-286 (2004)
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L. Popescu and A. Rodríguez-Bernal. On a singularly perturbed wave equation with dynamic boundary conditions. Proc. Roy. Soc. Edinburgh Sect. A, 134(2):389-413, 2004.
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L. Popescu and A. Rodríguez-Bernal. On a singularly perturbed wave
 +
equation with dynamic boundary conditions. Proc. Roy. Soc. Edinburgh
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Sect. A, 134(2):389-413, 2004.
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R. Dager, “Networks of strings: modelization and control of vibrations”, e-STA, vol 1, (2004)
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R. Dager, “Networks of strings: modelization and control of
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vibrations”, e-STA, vol 1, (2004)
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R. Dager, “Observation and control of vibrations in tree-shaped networks of strings” SIAM Journal on Control and Optimization 43, 590-623, (2004)
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R. Dager, “Observation and control of vibrations in tree-shaped
 +
networks of strings” SIAM Journal on Control and Optimization 43,
 +
590-623, (2004)
== Publicaciones 2005  ==
== Publicaciones 2005  ==
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J.M. Arrieta, A. Rodríguez-Bernal. "Ill posed problems with supercritical nonlinearities''. International Conference on Differential Equations (EQUADIFF'03) Hasselt, Belgium. World Scientific, pp 277 280,  (2005) ,  
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J.M. Arrieta, A. Rodríguez-Bernal. "Ill posed problems with
 +
supercritical nonlinearities''. International Conference on
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Differential Equations (EQUADIFF'03) Hasselt, Belgium. World
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Scientific, pp 277 280,  (2005) ,  
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J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal "Nonhomogenous flux condition as limit of localized reactions''.  International Conference on Differential  Equations (EQUADIFF'03) Hasselt, Belgium. World Scientific, pp 293-295, (2005),  
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J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal "Nonhomogenous
 +
flux condition as limit of localized reactions''.  International
 +
Conference on Differential  Equations (EQUADIFF'03) Hasselt, Belgium.
 +
World Scientific, pp 293-295, (2005),  
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J.M. Arrieta, S. M. Bruschi  "Problemas de valor de fronteira em domínios com oscilaçōes na fronteira", Seminario Brasileiro de Análise, Edición nº 62, Noviembre (2005),  
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J.M. Arrieta, S. M. Bruschi  "Problemas de valor de fronteira em
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domínios com oscilaçōes na fronteira", Seminario Brasileiro de
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Análise, Edición nº 62, Noviembre (2005),  
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R. Ferreira, A. de Pablo, F. Quiros y J. L. Vázquez, “Blow-up. El problema matemático de explosión para ecuaciones y sistemas  de reacción difusión” Boletín de la Soc. Española de Matemática Aplicada, 32, 75-111, 2005
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R. Ferreira, A. de Pablo, F. Quiros y J. L. Vázquez, “Blow-up. El
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problema matemático de explosión para ecuaciones y sistemas  de
 +
reacción difusión” Boletín de la Soc. Española de Matemática Aplicada,
 +
32, 75-111, 2005
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P. Quittner and A. Rodríguez-Bernal. Complete and energy blow-up in parabolic problems with nonlinear boundary conditions. Nonlinear Anal. TMA, 62(5):863-875, (2005).
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P. Quittner and A. Rodríguez-Bernal. Complete and energy blow-up in
 +
parabolic problems with nonlinear boundary conditions. Nonlinear Anal.
 +
TMA, 62(5):863-875, (2005).
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A. Rodríguez-Bernal and A. Vidal-López. Extremal equilibria and asymptotic behavior of parabolic nonlinear reaction-diffusion equations. In Nonlinear elliptic and parabolic problems: A Special Tribute to the Work of H. Amann., volume 64 of Progr. Nonlinear Differential Equations Appl., pages 509-516. Birkhäuser, Basel, (2005).
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A. Rodríguez-Bernal and A. Vidal-López. Extremal equilibria and
 +
asymptotic behavior of parabolic nonlinear reaction-diffusion
 +
equations. In Nonlinear elliptic and parabolic problems: A Special
 +
Tribute to the Work of H. Amann., volume 64 of Progr. Nonlinear
 +
Differential Equations Appl., pages 509-516. Birkhäuser, Basel,
 +
(2005).
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A. Rodríguez-Bernal. Parabolic equations in locally uniform spaces. In Nonlinear elliptic and parabolic problems, volume 64 of Progr. Nonlinear Differential Equations Appl., pages 421-432. Birkhäuser, Basel, (2005).
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A. Rodríguez-Bernal. Parabolic equations in locally uniform spaces. In
 +
Nonlinear elliptic and parabolic problems, volume 64 of Progr.
 +
Nonlinear Differential Equations Appl., pages 421-432. Birkhäuser,
 +
Basel, (2005).
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A. Rodríguez-Bernal and R. Willie. Singular large diffusivity and spatial homogenization in a non homogeneous linear parabolic problem. Discrete Contin. Dyn. Syst. Ser. B, 5(2):385-410, (2005).
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A. Rodríguez-Bernal and R. Willie. Singular large diffusivity and
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spatial homogenization in a non homogeneous linear parabolic problem.
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Discrete Contin. Dyn. Syst. Ser. B, 5(2):385-410, (2005).
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R. Ferreira, A. de Pablo y M. Pérez-Llanos, “Numerical blow-up for the p-laplacian equation with a source”, Computational Methods in Applied Mathematics 5, 137-154, (2005)
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R. Ferreira, A. de Pablo y M. Pérez-Llanos, “Numerical blow-up for the
 +
p-laplacian equation with a source”, Computational Methods in Applied
 +
Mathematics 5, 137-154, (2005)
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R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “On the quenching set for a fast diffusion equation.Regional quenching”, Proceedings of the Royal Society of Edinburgh. Section A, 135, 585—601, (2005)
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R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “On the quenching
 +
set for a fast diffusion equation.Regional quenching”, Proceedings of
 +
the Royal Society of Edinburgh. Section A, 135, 585—601, (2005)
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A. Jiménez-Casas, “Metastable solutions for the thin-interface limit of a phase-field model” Nonlinear Analysis, Volume 63, Issues 5-7, 963-970, (2005)
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A. Jiménez-Casas, “Metastable solutions for the thin-interface limit
 +
of a phase-field model” Nonlinear Analysis, Volume 63, Issues 5-7,  
 +
963-970, (2005)
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A. Jiménez-Casas, “Well posedness and asymptotic behavior of a closed loop thermosyphon”, World Scientific Publications pp: 59-74,  (2005)
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A. Jiménez-Casas, “Well posedness and asymptotic behavior of a closed
 +
loop thermosyphon”, World Scientific Publications pp: 59-74,  (2005)
== Publicaciones 2006  ==
== Publicaciones 2006  ==
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R. Dager, E. Zuazua, “Wave propagation, observation and control of 1-D flexible multi-structures”, Mathematiques et Applications 50, Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9; 3-540-27239-9 [LIBRO DE INVESTIGACIÓN]
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R. Dager, E. Zuazua, “Wave propagation, observation and control of  
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1-D flexible multi-structures”, Mathematiques et Applications 50,
 +
Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9;
 +
3-540-27239-9 [LIBRO DE INVESTIGACIÓN]
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I. Bosch, A. M. Minzoni, “Chaotic behavior in a singularly perturbed system” Nonlinearity 19,  1535-1551 (2006)
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I. Bosch, A. M. Minzoni, “Chaotic behavior in a singularly perturbed
 +
system” Nonlinearity 19,  1535-1551 (2006)
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M. Negreanu, E. Zuazua “Discrete Ingham inequalities and applications”, SIAM Journal of Numerical Analysis, Volume 44, Issue I (2006)  pp 412-4448
+
M. Negreanu, E. Zuazua “Discrete Ingham inequalities and
 +
applications”, SIAM Journal of Numerical Analysis, Volume 44, Issue I
 +
(2006)  pp 412-4448
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A. Rodríguez-Bernal and A. Vidal, “Asymptotic behavior of positive solutions of nonautonomous reaction-diffusion equations”, Bol. Soc. Esp. Mat. Apl. 34, 99-104 (2006)  
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A. Rodríguez-Bernal and A. Vidal, “Asymptotic behavior of positive
 +
solutions of nonautonomous reaction-diffusion equations”, Bol. Soc.
 +
Esp. Mat. Apl. 34, 99-104 (2006)  
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J. C. Robinson, A. Vidal–López, “Minimal periods of semilinear evolution equations with Lipschitz nonlinearity”. Jounal of Differential Equations, Vol. 220 (2), 396–406 (2006).
+
J. C. Robinson, A. Vidal–López, “Minimal periods of semilinear
 +
evolution equations with Lipschitz nonlinearity”. Jounal of
 +
Differential Equations, Vol. 220 (2), 396–406 (2006).
-
J.M. Arrieta, S. M. Bruschi "Boundary Oscillations and Nonlinear Boundary Conditions",  Comptes Rendus Mathematique, t. 343, Series I, pp. 99-104 (2006)
+
J.M. Arrieta, S. M. Bruschi "Boundary Oscillations and Nonlinear
 +
Boundary Conditions",  Comptes Rendus Mathematique, t. 343, Series I,
 +
pp. 99-104 (2006)
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J.M. Arrieta, A. Rodríguez-Bernal, J. Valero  "Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity", International Journal of Bifurcation and Chaos 16,  n. 10,  pp. 2965-2984  (2006)
+
J.M. Arrieta, A. Rodríguez-Bernal, J. Valero  "Dynamics of a
 +
reaction-diffusion equation with a discontinuous nonlinearity",
 +
International Journal of Bifurcation and Chaos 16,  n. 10,  pp.
 +
2965-2984  (2006)
-
J.M.  Arrieta A.N. Carvalho and G. Lozada-Cruz "Dynamics in dumbbell domains I. Continuity of the set of equilibria" Journal of Differential Equations 231, Issue 2, pp. 551-597, (2006),
+
J.M.  Arrieta A.N. Carvalho and G. Lozada-Cruz "Dynamics in dumbbell
 +
domains I. Continuity of the set of equilibria" Journal of
 +
Differential Equations 231, Issue 2, pp. 551-597, (2006),
-
R. Ferreira, A. de Pablo y J. L. Vázquez,  “Classification of blow-up with nonlinear diffusion and localized reaction”, Journal Differential Equations 231, 195—211, (2006)
+
R. Ferreira, A. de Pablo y J. L. Vázquez,  “Classification of blow-up
 +
with nonlinear diffusion and localized reaction”, Journal Differential
 +
Equations 231, 195—211, (2006)
-
R. Ferreira, A. de Pablo, G. Reyes y A. Sánchez, “The interfaces of an inhomogeneous porous médium equation with convection” Communications in Partial Differential Equations , 31, 497—514, (2006)
+
R. Ferreira, A. de Pablo, G. Reyes y A. Sánchez, “The interfaces of an
 +
inhomogeneous porous médium equation with convection” Communications
 +
in Partial Differential Equations , 31, 497—514, (2006)
-
R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up for a degenerate diffusion problem  not in divergence form”, Indiana University Mathematics Journal , 55, 955—974, (2006)
+
R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up for a degenerate
 +
diffusion problem  not in divergence form”, Indiana University
 +
Mathematics Journal , 55, 955—974, (2006)
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R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi,  “Non-simultaneous quenching in a system of heat equations coupled at the boundary” Zeitschrift fur Angewandte Mathematik und Physik , 57, 586—594, (2006).
+
R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi,  “Non-simultaneous
 +
quenching in a system of heat equations coupled at the boundary”
 +
Zeitschrift fur Angewandte Mathematik und Physik , 57, 586—594,
 +
(2006).
-
R. Ferreira, A. de Pablo y J. L. Vázquez,  “Classification of blow-up with nonlinear diffusion and localized reaction” Aparecerá en Journal Differential Equations 231, 195-211 (2006)
+
R. Ferreira, A. de Pablo y J. L. Vázquez,  “Classification of blow-up
 +
with nonlinear diffusion and localized reaction” Aparecerá en Journal
 +
Differential Equations 231, 195-211 (2006)
-
R. Pardo, V. M. Pérez-García, “Dissipative solutions that cannot be trapped”, Phys. Rev. Lett. 97, (2006).  
+
R. Pardo, V. M. Pérez-García, “Dissipative solutions that cannot be
 +
trapped”, Phys. Rev. Lett. 97, (2006).  
-
R. Dager, A. Presa, “Duality of the space of germs of harmonic vector fields on a compact”, C.R. Acad. Sci. Paris, Serie I, 343 (1), 19-22, (2006)
+
R. Dager, A. Presa, “Duality of the space of germs of harmonic vector
 +
fields on a compact”, C.R. Acad. Sci. Paris, Serie I, 343 (1), 19-22,
 +
(2006)
-
R. Dager, “Insensitizing controls for the 1-D wave equation”, SIAM Journal on Control and Optimization 45, 1758-1768, (2006)
+
R. Dager, “Insensitizing controls for the 1-D wave equation”, SIAM
 +
Journal on Control and Optimization 45, 1758-1768, (2006)
== Publicaciones 2007  ==
== Publicaciones 2007  ==
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J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal "Bifurcation and stability of equilibria with asymptotically linear boundary conditions at infinity", Proc. of the Royal Society of Edinburgh A, Vol.137, Issue 02,  225-252. (2007),
+
J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal "Bifurcation and stability
 +
of equilibria with asymptotically linear boundary conditions at
 +
infinity", Proc. of the Royal Society of Edinburgh A, Vol.137, Issue
 +
02,  225-252. (2007),
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A. Rodríguez-Bernal, R. Willie, “Nesting inertial manifolds of reaction-diffusion equations and large diffusivity. Nonlinear Analisis 67,  70-93 (2007)
+
A. Rodríguez-Bernal, R. Willie, “Nesting inertial manifolds of
 +
reaction-diffusion equations and large diffusivity. Nonlinear Analisis
 +
67,  70-93 (2007)
-
A. Rodríguez-Bernal, A. Vidal, “Existence, uniqueness and attractivity properties of positive complete trajectories  for non-autonomous reaction-diffusion problems”, Disc. Cont. Dyn. Systems 18, 537--567, (2007)
+
A. Rodríguez-Bernal, A. Vidal, “Existence, uniqueness and attractivity
 +
properties of positive complete trajectories  for non-autonomous
 +
reaction-diffusion problems”, Disc. Cont. Dyn. Systems 18, 537--567,
 +
(2007)
-
J.A. Langa, J.C. Robinson, A.Rodríguez-Bernal,  A. Suárez, A. Vidal, “Existence and non-existence of unbounded forward attractor for a class of nonautonomous reaction diffusion equations”. Disc. Cont. Dyn. Systems 18, 483—497, (2007)
+
J.A. Langa, J.C. Robinson, A.Rodríguez-Bernal,  A. Suárez, A. Vidal,
 +
“Existence and non-existence of unbounded forward attractor for a
 +
class of nonautonomous reaction diffusion equations”. Disc. Cont. Dyn.
 +
Systems 18, 483—497, (2007)
-
J.M. Arrieta, S.M. Bruschi “Rapidly varying  boundaries in equations with nonlinear boundary conditions. The case of a Lipschitz deformation”, Mathematical Models and Methods in Applied Sciences 17, nº 10 (2007)
+
J.M. Arrieta, S.M. Bruschi “Rapidly varying  boundaries in equations
 +
with nonlinear boundary conditions. The case of a Lipschitz
 +
deformation”, Mathematical Models and Methods in Applied Sciences 17,
 +
nº 10 (2007)
-
R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up with logarithmic nonlinearities”, Journal Differential Equations 240, Issue 1, Pages 196-215  (2007)
+
R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up with logarithmic
 +
nonlinearities”, Journal Differential Equations 240, Issue 1, Pages
 +
196-215  (2007)
-
J.C. Robinson, A. Rodríguez-Bernal, A. Vidal-López, “Pullback attractors and extremal complete trajectories for non-autonomous reaction-diffusion problems”, Journal of Differential Equations 238, 289-337 (2007)
+
J.C. Robinson, A. Rodríguez-Bernal, A. Vidal-López, “Pullback
 +
attractors and extremal complete trajectories for non-autonomous
 +
reaction-diffusion problems”, Journal of Differential Equations 238,
 +
289-337 (2007)
-
U. Brauer, L. Karp, “Local existence of classical solutions of the Einstein-Euler system using weighted Sobolev spaces of fractional order”, Comptes Rendus Mathematique 345, pp 49-54 (2007)
+
U. Brauer, L. Karp, “Local existence of classical solutions of the
 +
Einstein-Euler system using weighted Sobolev spaces of fractional
 +
order”, Comptes Rendus Mathematique 345, pp 49-54 (2007)
-
J. A. Langa, J. C. Robinson, A. Suárez, A. Vidal-López, “The stability of attractors for non-autonomous perturbation of gradient-like systems”, Journal of Differential Equations 234, 605-627 (2007).  
+
J. A. Langa, J. C. Robinson, A. Suárez, A. Vidal-López, “The stability
 +
of attractors for non-autonomous perturbation of gradient-like
 +
systems”, Journal of Differential Equations 234, 605-627 (2007).  
-
J. M. Arrieta and A. Rodríguez-Bernal, “Blow up versus global boundedness of solutions of reaction diffusion equations with nonlinear boundary conditions”, Proceedings of Equadiff 11,  Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 1-7  
+
J. M. Arrieta and A. Rodríguez-Bernal, “Blow up versus global
 +
boundedness of solutions of reaction diffusion equations with
 +
nonlinear boundary conditions”, Proceedings of Equadiff 11,  Editors:
 +
M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic
 +
(2007). pp 1-7  
-
J. M. Arrieta, A. Jimenéz-Casas and A. Rodríguez-Bernal, “Robin type conditions arising from concentrated potentials”, Proceedings of Equadiff 11,  Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007).  pp 157-164  
+
J. M. Arrieta, A. Jimenéz-Casas and A. Rodríguez-Bernal, “Robin type
 +
conditions arising from concentrated potentials”, Proceedings of
 +
Equadiff 11,  Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved,
 +
P.Quittner and D.Sevcovic (2007).  pp 157-164  
-
A. de Pablo, M. Pérez-Llanos and R. Ferreira, “Numerical blow-up for the p-Laplacian equation with a nonlinear source” Proceedings of Equadiff 11,  Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007).  pp 363-367
+
A. de Pablo, M. Pérez-Llanos and R. Ferreira, “Numerical blow-up for
 +
the p-Laplacian equation with a nonlinear source” Proceedings of
 +
Equadiff 11,  Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved,
 +
P.Quittner and D.Sevcovic (2007).  pp 363-367
-
J. M. Arrieta, N. Moya, A. Rodríguez-Bernal, “Dissipative dynamics of reaction diffusion equations in R^N” Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007),  pp 405-414.
+
J. M. Arrieta, N. Moya, A. Rodríguez-Bernal, “Dissipative dynamics of
 +
reaction diffusion equations in R^N” Proceedings of Equadiff 11,  
 +
Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and
 +
D.Sevcovic (2007),  pp 405-414.
-
A. Rodríguez-Bernal and A. Vidal-López, “Extremal equilibria for parabolic non-linear reaction-diffusion equations”, Proceedings of Equadiff 11,  Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007).  pp 531-539  
+
A. Rodríguez-Bernal and A. Vidal-López, “Extremal equilibria for
 +
parabolic non-linear reaction-diffusion equations”, Proceedings of
 +
Equadiff 11,  Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved,
 +
P.Quittner and D.Sevcovic (2007).  pp 531-539  
-
J.M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Dissipative parabolic equations in locally uniform spaces", Mathematische Nachrichten 280, Issue 15 (2007)
+
J.M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal,  
 +
"Dissipative parabolic equations in locally uniform spaces",
 +
Mathematische Nachrichten 280, Issue 15 (2007)
== Aceptados para publicación  ==
== Aceptados para publicación  ==
-
J.M. Arrieta, “On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions”, Proceedings of the American Mathematical Society
+
J.M. Arrieta, “On boundedness of solutions of reaction-diffusion
 +
equations with nonlinear boundary conditions”, Proceedings of the
 +
American Mathematical Society
-
J.M. Arrieta, A. Rodríguez-Bernal, J. Rossi, "The best Sobolev trace constant as limit of the usual Sobolev constant for small strips near the boundary", Proceedings of the Royal Society of Edinburgh A,
+
J.M. Arrieta, A. Rodríguez-Bernal, J. Rossi, "The best Sobolev trace
 +
constant as limit of the usual Sobolev constant for small strips near
 +
the boundary", Proceedings of the Royal Society of Edinburgh A,
-
J.M. Arrieta, A. Jiménez-Casas and A. Rodríguez-Bernal,  "Flux terms and Robin  boundary conditions as limit of reactions and potentials concentrating in the boundary" Revista Matemática Iberoamericana  
+
J.M. Arrieta, A. Jiménez-Casas and A. Rodríguez-Bernal,  "Flux terms  
 +
and Robin  boundary conditions as limit of reactions and potentials
 +
concentrating in the boundary" Revista Matemática Iberoamericana  
-
J.M. Arrieta, N. Moya, A. Rodríguez-Bernal, "On the finite dimension of attractors of parabolic  problems  in $R^N$ with general potentials",  Nonlinear Analysis, Theory Methods  and Appications
+
J.M. Arrieta, N. Moya, A. Rodríguez-Bernal, "On the finite dimension
 +
of attractors of parabolic  problems  in $R^N$ with general
 +
potentials",  Nonlinear Analysis, Theory Methods  and Appications
-
M. Bogoya, R. Ferreira, J.D. Rossi, “Neumann boundary conditions for a nonlocal nonlinear diffusion operator. Continuous and discrete models” Proceedings of the American Mathematical Society
+
M. Bogoya, R. Ferreira, J.D. Rossi, “Neumann boundary conditions for a
 +
nonlocal nonlinear diffusion operator. Continuous and discrete models”
 +
Proceedings of the American Mathematical Society
-
M. Bogoya, R. Ferreira y J. D. Rossi, “A nonlocal nonlinear diffusion equation with blowing up boundary conditions”, Journal of Mathematical Analysis and Applications
+
M. Bogoya, R. Ferreira y J. D. Rossi, “A nonlocal nonlinear diffusion
 +
equation with blowing up boundary conditions”, Journal of Mathematical
 +
Analysis and Applications
-
A. Rodríguez-Bernal, A. Vidal-López, “Semiestable extremal ground states for nonlinear evolution equations in unbounded domains”, Journal of Mathematical Analysis and Applications
+
A. Rodríguez-Bernal, A. Vidal-López, “Semiestable extremal ground
 +
states for nonlinear evolution equations in unbounded domains”,
 +
Journal of Mathematical Analysis and Applications
-
A Jiménez Casas, “Invariant regions and global existence for a phase field model”, Discrete and Cont. Dynam. Systems.  
+
A Jiménez Casas, “Invariant regions and global existence for a phase
 +
field model”, Discrete and Cont. Dynam. Systems.  
   
   
-
A.Jiménez Casas, M. Castro Ponce, “Slow motion for a phase field model” Mathematical Methods in the Applied Science.  
+
A.Jiménez Casas, M. Castro Ponce, “Slow motion for a phase field
 +
model” Mathematical Methods in the Applied Science.  
Libros de investigación
Libros de investigación
-
R. Dager, E. Zuazua, “Wave propagation, observation and control of 1-D flexible multi-structures”, Mathematiques et Applications 50, Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9; 3-540-27239-9
+
R. Dager, E. Zuazua, “Wave propagation, observation and control of  
 +
1-D flexible multi-structures”, Mathematiques et Applications 50,
 +
Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9;
 +
3-540-27239-9
== Libros docentes  ==
== Libros docentes  ==
-
S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”, Editorial Síntesis. (En prensa)
+
S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”,
 +
Editorial Síntesis. (En prensa)
-
R. Rodríguez, E. Zuazua, “De la aritmética al análisis. Historia y desarrollo reciente en matemáticas” Ministerio de Educación y Ciencia. (ISBN: 84-369-3845-3).
+
R. Rodríguez, E. Zuazua, “De la aritmética al análisis. Historia y
 +
desarrollo reciente en matemáticas” Ministerio de Educación y Ciencia.
 +
(ISBN: 84-369-3845-3).
Línea 201: Línea 381:
R. Ferreira
R. Ferreira
-
Conferencia Invitada “The balance between nonlinear reaction and absorption at the boundary”
+
Conferencia Invitada “The balance between nonlinear reaction and
-
Congreso IV Pan-American Workshop in Applied and Computacional Mathematics,  Cordoba (Argentina)  (2002)
+
absorption at the boundary”
 +
Congreso IV Pan-American Workshop in Applied and Computacional
 +
Mathematics,  Cordoba (Argentina)  (2002)
M. Negreanu,  
M. Negreanu,  
Ponencia: “Multi-grid filtering method”
Ponencia: “Multi-grid filtering method”
-
Congreso: International Conference HMS2000 Midterm Review Heidelberg, Heidlberg Alemania (2002)
+
Congreso: International Conference HMS2000 Midterm Review Heidelberg,
 +
Heidlberg Alemania (2002)
R. Ferreira  
R. Ferreira  
-
Conferencia Invitada: “ Quenching Phenomena for a very fast difusión equation”.
+
Conferencia Invitada: “ Quenching Phenomena for a very fast difusión
-
Congreso: First Workshop on Elliptic and Parabolic Partial Differential Equations,  Santiago de Chile (Chile)  (2003)
+
equation”.
 +
Congreso: First Workshop on Elliptic and Parabolic Partial
 +
Differential Equations,  Santiago de Chile (Chile)  (2003)
J. Arrieta, R. Pardo, A. Rodríguez-Bernal,
J. Arrieta, R. Pardo, A. Rodríguez-Bernal,
-
Ponencia: “Problemas Elipticos con condiciones de contorno asintoticamente lineales en infinito”
+
Ponencia: “Problemas Elipticos con condiciones de contorno
 +
asintoticamente lineales en infinito”
Congreso: XVIII CEDYA, Tarragona (2003)
Congreso: XVIII CEDYA, Tarragona (2003)
J.M. Arrieta,  A. Rodríguez-Bernal
J.M. Arrieta,  A. Rodríguez-Bernal
-
Conferencia Invitada: “Non-well posedness of parabolic equations with supercritical nonlinearities”
+
Conferencia Invitada: “Non-well posedness of parabolic equations with
 +
supercritical nonlinearities”
Congreso:  EQUADIFF 2003, Hasselt Belgica, (2003)
Congreso:  EQUADIFF 2003, Hasselt Belgica, (2003)
Línea 225: Línea 412:
J.M. Arrieta, A. Rodríguez-Bernal
J.M. Arrieta, A. Rodríguez-Bernal
-
Ponencia:  “Ecuaciones en derivadas parciales supercriticas y problemas mal planteados”
+
Ponencia:  “Ecuaciones en derivadas parciales supercriticas y
 +
problemas mal planteados”
Congreso: XVIII CEDYA, Tarragona (2003)
Congreso: XVIII CEDYA, Tarragona (2003)
J.M. Arrieta, A. Rodríguez-Bernal, A. Vidal-López
J.M. Arrieta, A. Rodríguez-Bernal, A. Vidal-López
-
Ponencia:  “Regiones atractoras delimitadas por puntos de equilibrio extremales para ecuaciones de reacción-difusión”
+
Ponencia:  “Regiones atractoras delimitadas por puntos de equilibrio
 +
extremales para ecuaciones de reacción-difusión”
Congreso: XVIII CEDYA, Tarragona (2003)
Congreso: XVIII CEDYA, Tarragona (2003)
J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal
J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal
-
Ponencia: “Condición de flujo no-homogénea como límite de reacciones localizadas”
+
Ponencia: “Condición de flujo no-homogénea como límite de reacciones
 +
localizadas”
Congreso: XVIII CEDYA, Tarragona (2003)
Congreso: XVIII CEDYA, Tarragona (2003)
Negreanu, E. Zuazua
Negreanu, E. Zuazua
Ponencia: “A 2-grid algorithm for the 1-D wave equation”
Ponencia: “A 2-grid algorithm for the 1-D wave equation”
-
Congreso:  International Conference Waves 2003, INRIA, Universidad de Jyavaskyla, Finlandia (2003)
+
Congreso:  International Conference Waves 2003, INRIA, Universidad de
 +
Jyavaskyla, Finlandia (2003)
Negreanu, E. Zuazua
Negreanu, E. Zuazua
Ponencia: “Discrete inequalities”
Ponencia: “Discrete inequalities”
-
Congreso: Intenational Conference “New trends in Continuum Mechanics”, Universidad de Constanta,  Rmanía (2003)
+
Congreso: Intenational Conference “New trends in Continuum Mechanics”,
 +
Universidad de Constanta,  Rmanía (2003)
U. Brauer, L. Karp
U. Brauer, L. Karp
-
Ponencia: “Existencia local de soluciones clásicas del sistema Einstein-Euler usando espacios de Soboleve de orden fraccionario con pesos”
+
Ponencia: “Existencia local de soluciones clásicas del sistema
 +
Einstein-Euler usando espacios de Soboleve de orden fraccionario con
 +
pesos”
Congreso:  XVIII CEDYA, Tarragona (2003)
Congreso:  XVIII CEDYA, Tarragona (2003)
J. Arrieta
J. Arrieta
-
Conferencia Invitada: “Domain perturbation problems in Partial Differential Equations”
+
Conferencia Invitada: “Domain perturbation problems in Partial
-
Congreso: CNMAC’03, Sociedad Brasileira de Matemática Aplicada e Computacional, Sao Jose de Rio Preto, Brasil (2003)
+
Differential Equations”
 +
Congreso: CNMAC’03, Sociedad Brasileira de Matemática Aplicada e
 +
Computacional, Sao Jose de Rio Preto, Brasil (2003)
J. Arrieta
J. Arrieta
-
Ponencia: “Nonlinear Dynamics of Reaction-Diffusion equations under perturbations”
+
Ponencia: “Nonlinear Dynamics of Reaction-Diffusion equations under
-
Congreso: CNMAC’03, Sociedad Brasileira de Matemática Aplicada e Computacional, Sao Jose de Rio Preto, Brasil (2003)
+
perturbations”
 +
Congreso: CNMAC’03, Sociedad Brasileira de Matemática Aplicada e
 +
Computacional, Sao Jose de Rio Preto, Brasil (2003)
R. Ferreira
R. Ferreira
-
Conferencia Invitada:  “Quenching Phenomena for a fast difusión equation”.
+
Conferencia Invitada:  “Quenching Phenomena for a fast difusión
-
Congreso: Workshop de Otoño en EDP's, Universidad Autónoma de Madrid   (2004)
+
equation”.
 +
Congreso: Workshop de Otoño en EDP's, Universidad Autónoma de Madrid
 +
(2004)
J.M. Arrieta, A. Rodríguez-Bernal
J.M. Arrieta, A. Rodríguez-Bernal
-
Ponencia: “Ill posed parabolic problems with supercritical nonlinearities”
+
Ponencia: “Ill posed parabolic problems with supercritical
-
Congreso: “Fifth European Conference on Elliptic and Parabolic Problems: A special tribute to the work of Haim Brezis”, Gaeta, Italia (2004)
+
nonlinearities”
 +
Congreso: “Fifth European Conference on Elliptic and Parabolic
 +
Problems: A special tribute to the work of Haim Brezis”, Gaeta, Italia
 +
(2004)
A. Rodríguez-Bernal  
A. Rodríguez-Bernal  
Ponencia: “Parabolic equations in locally uniform spaces”
Ponencia: “Parabolic equations in locally uniform spaces”
-
Congreso: “Nonlinear Elliptic and Parabolic Problems: A special tribute to the work of Herbert Amann”, Zurich, Suiza (2004)
+
Congreso: “Nonlinear Elliptic and Parabolic Problems: A special
 +
tribute to the work of Herbert Amann”, Zurich, Suiza (2004)
A. Rodríguez-Bernal, A. Vidal-López
A. Rodríguez-Bernal, A. Vidal-López
-
Ponencia: “Extremal equilibria and asymptotic behaviour Parabolic equations in locally uniform spaces”
+
Ponencia: “Extremal equilibria and asymptotic behaviour Parabolic
-
Congreso: “Nonlinear Elliptic and Parabolic Problems: A special tribute to the work of Herbert Amann”, Zurich, Suiza (2004)
+
equations in locally uniform spaces”
 +
Congreso: “Nonlinear Elliptic and Parabolic Problems: A special
 +
tribute to the work of Herbert Amann”, Zurich, Suiza (2004)
R. Ferreira,  
R. Ferreira,  
-
Conferencia Invitada “The Interfaces of an Inhomogeneous Porous Médium Equation with Convection”
+
Conferencia Invitada “The Interfaces of an Inhomogeneous Porous Médium
-
Congreso: III Internacional Symposium on Nonlinear and Free Boundary Problems,  U. de Buenos Aires (Argentina)      (2005)
+
Equation with Convection”
 +
Congreso: III Internacional Symposium on Nonlinear and Free Boundary
 +
Problems,  U. de Buenos Aires (Argentina)      (2005)
J.Arrieta, R. Pardo, A. Rodríguez-Bernal
J.Arrieta, R. Pardo, A. Rodríguez-Bernal
Línea 281: Línea 489:
J.M. Arrieta, A. Rodríguez-Bernal
J.M. Arrieta, A. Rodríguez-Bernal
-
Conferencia Invitada: “Blow-up in reaction diffusion equations with nonlinear boundary conditions”
+
Conferencia Invitada: “Blow-up in reaction diffusion equations with
 +
nonlinear boundary conditions”
Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)
Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)
Línea 293: Línea 502:
A. Rodríguez-Bernal, A. Vidal-López
A. Rodríguez-Bernal, A. Vidal-López
-
Ponencia: “Extremal Equilibria for parabolic nonlinear reaction-diffusion equations”
+
Ponencia: “Extremal Equilibria for parabolic nonlinear
 +
reaction-diffusion equations”
Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)
Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)
A. Rodríguez-Bernal, A. Vidal-López
A. Rodríguez-Bernal, A. Vidal-López
-
Ponencia: “Asymptotic behavior of nonautonomous reaction-diffusion equations”
+
Ponencia: “Asymptotic behavior of nonautonomous reaction-diffusion
-
Congreso: “PDE's, Optimal Design and Numerics”, Centro de Ciencias de Benasque, Huesca (2005)
+
equations”
 +
Congreso: “PDE's, Optimal Design and Numerics”, Centro de Ciencias de
 +
Benasque, Huesca (2005)
A. Rodríguez-Beranal, A. Vidal-López
A. Rodríguez-Beranal, A. Vidal-López
-
Ponencia: “Comportamiento asintótico de soluciones positivas de ecuaciones de reacción-difusión no autónomas”
+
Ponencia: “Comportamiento asintótico de soluciones positivas de
 +
ecuaciones de reacción-difusión no autónomas”
Congreso. “XIX CEDYA”, Leganés, Madrid (2005)
Congreso. “XIX CEDYA”, Leganés, Madrid (2005)
J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal  
J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal  
-
Ponencia: “Ramas no acotadas de soluciones estables en problemas elípticos con condiciones de frontera asintóticamente lineales”
+
Ponencia: “Ramas no acotadas de soluciones estables en problemas
 +
elípticos con condiciones de frontera asintóticamente lineales”
Congreso: XIX CEDYA, Leganés, Madrid (2005)
Congreso: XIX CEDYA, Leganés, Madrid (2005)
A. Rodríguez-Bernal, A. Vidal-López  
A. Rodríguez-Bernal, A. Vidal-López  
-
Ponencia: “Trayectorias Completas extremales para ecuaciones de reacción-diffusión no autónomas” Congreso: XIX CEDYA, Leganés, Madrid (2005)
+
Ponencia: “Trayectorias Completas extremales para ecuaciones de
 +
reacción-diffusión no autónomas” Congreso: XIX CEDYA, Leganés, Madrid
 +
(2005)
J.M. Arrieta, A. Jiménez-Casas,  A. Rodríguez-Bernal
J.M. Arrieta, A. Jiménez-Casas,  A. Rodríguez-Bernal
-
Ponencia: “Condiciones de Robin provenientes de potenciales concentrados”
+
Ponencia: “Condiciones de Robin provenientes de potenciales
 +
concentrados”
Congeso “XIX CEDYA”, Leganés, Madrid (2005)
Congeso “XIX CEDYA”, Leganés, Madrid (2005)
A. Rodríguez-Bernal, A. Vidal-López
A. Rodríguez-Bernal, A. Vidal-López
-
Ponencia: “Extremal complete trajectories for non-autonomous logistic equations I: existence”
+
Ponencia: “Extremal complete trajectories for non-autonomous logistic
-
Congreso: “International Conference on non-autonomous and Stochastic Dynamical Systems”, Sevila (2005)
+
equations I: existence”
 +
Congreso: “International Conference on non-autonomous and Stochastic
 +
Dynamical Systems”, Sevila (2005)
A. Rodríguez-Bernal, A. Vidal-López
A. Rodríguez-Bernal, A. Vidal-López
-
Ponencia: “Extremal complete trajectories for non-autonomous logistic equations II: uniqueness of positive solutions and stability properties”
+
Ponencia: “Extremal complete trajectories for non-autonomous logistic
-
Congreso: “International Conference on non-autonomous and Stochastic Dynamical Systems”, Sevila (2005)
+
equations II: uniqueness of positive solutions and stability
 +
properties”
 +
Congreso: “International Conference on non-autonomous and Stochastic
 +
Dynamical Systems”, Sevila (2005)
A. Rodríguez-Bernal, A. Vidal-López
A. Rodríguez-Bernal, A. Vidal-López
-
Ponencia: “Foward asymptotic behavior of positivie sulutions in a non-autonomous logistic equation”
+
Ponencia: “Foward asymptotic behavior of positivie sulutions in a
-
Congreso: “International Conference on non-autonomous and Stochastic Dynamical Systems”, Sevila (2005)
+
non-autonomous logistic equation”
 +
Congreso: “International Conference on non-autonomous and Stochastic
 +
Dynamical Systems”, Sevila (2005)
Negreanu, E. Zuazua
Negreanu, E. Zuazua
-
Ponencia: “Uniform Observability of the wave equation via a discrete ingham inequality”
+
Ponencia: “Uniform Observability of the wave equation via a discrete
-
Congreso: IEEE Conference on Decision and Control and European Control Conference ECC 2005,
+
ingham inequality”
 +
Congreso: IEEE Conference on Decision and Control and European Control
 +
Conference ECC 2005,
Universidad de Sevilla, (2005)
Universidad de Sevilla, (2005)
Negreanu, E. Zuazua
Negreanu, E. Zuazua
-
Ponencia: “Convergence of a multi-grid algorithm for the controllability of the wave equation”
+
Ponencia: “Convergence of a multi-grid algorithm for the
-
Congreso: IEEE Conference on Decision and Control and European Control Conference ECC 2005,
+
controllability of the wave equation”
 +
Congreso: IEEE Conference on Decision and Control and European Control
 +
Conference ECC 2005,
Universidad de Sevilla, (2005)
Universidad de Sevilla, (2005)
U. Brauer, G. Nagy
U. Brauer, G. Nagy
-
Ponencia: “Buen planteamienteo de las ecuaciones de Euler compresibles linealizadas con frontera libre y autogravitación”
+
Ponencia: “Buen planteamienteo de las ecuaciones de Euler compresibles
 +
linealizadas con frontera libre y autogravitación”
Congreso: XIX CEDYA, Leganes, Madrid (2005)
Congreso: XIX CEDYA, Leganes, Madrid (2005)
J. Arrieta, S. Bruschi
J. Arrieta, S. Bruschi
-
Ponencia: “Problemas de valor de fronteira em domínios com oscilaçōes na fronteira",  
+
Ponencia: “Problemas de valor de fronteira em domínios com oscilaçōes
-
Congreso: Seminario Brasileiro de Análise, Edición nº 62, Río de Janeiro, Brasil, Noviembre (2005),  
+
na fronteira",  
 +
Congreso: Seminario Brasileiro de Análise, Edición nº 62, Río de
 +
Janeiro, Brasil, Noviembre (2005),  
J. Arrieta, K. Mischaikow
J. Arrieta, K. Mischaikow
Línea 350: Línea 581:
J. Arrieta
J. Arrieta
-
Conferencia Invitada: “Asymptotic behavior at the boundary of solutions of reaction-diffusion equations with nonlinear boundary conditions “
+
Conferencia Invitada: “Asymptotic behavior at the boundary of
-
Congreso:  “ICMC Summer Meeting in Differential Equations” 2006 Chapter.  Congreso en memoria de D. Henry,  Universidade de Sao Paulo, (2006)
+
solutions of reaction-diffusion equations with nonlinear boundary
 +
conditions “
 +
Congreso:  “ICMC Summer Meeting in Differential Equations” 2006
 +
Chapter.  Congreso en memoria de D. Henry,  Universidade de Sao Paulo,
 +
(2006)
R.Ferreira
R.Ferreira
-
Conferencia Invitada  “Explosión para una ecuación de difusión con reacción localizada”
+
Conferencia Invitada  “Explosión para una ecuación de difusión con
-
Congreso: Primer encuentro de ecuaciones en derivadas parciales,  U. de la Laguna  (2006)
+
reacción localizada”
 +
Congreso: Primer encuentro de ecuaciones en derivadas parciales,  U.
 +
de la Laguna  (2006)
R.Pardo
R.Pardo
-
Conferencia Invitada  “ Problemas elípticos con condiciones de contorno sublineales en infinito: estabilidad y monotonía de ramas de soluciones no acotadas. ”
+
Conferencia Invitada  “ Problemas elípticos con condiciones de
-
Congreso: Primer encuentro de ecuaciones en derivadas parciales,  U. de la Laguna  (2006)
+
contorno sublineales en infinito: estabilidad y monotonía de ramas de
 +
soluciones no acotadas. ”
 +
Congreso: Primer encuentro de ecuaciones en derivadas parciales,  U.
 +
de la Laguna  (2006)
A.Rodríguez y A. Vidal  
A.Rodríguez y A. Vidal  
-
Conferencia invitada: “Extremal equilibria for parabolic equations and applications”.
+
Conferencia invitada: “Extremal equilibria for parabolic equations and
-
Congreso: “6th AIMS International Conference on Dyn. Systems, Diff. Equations and Applications”, Poitiers (Francia). Junio 2006. Universidad de Poitiers y American Institute of Mathematical Sciences (AIMS).
+
applications”.
 +
Congreso: “6th AIMS International Conference on Dyn. Systems, Diff.
 +
Equations and Applications”, Poitiers (Francia). Junio 2006.
 +
Universidad de Poitiers y American Institute of Mathematical Sciences
 +
(AIMS).
A. Rodríguez
A. Rodríguez
Conferencia Invitada, “Blow-up and ill posed problems”
Conferencia Invitada, “Blow-up and ill posed problems”
-
Congreso: Second Euro Japanese Workshop on Blow-up, El Escorial, Septiembre (2006)
+
Congreso: Second Euro Japanese Workshop on Blow-up, El Escorial,
 +
Septiembre (2006)
J. Arrieta
J. Arrieta
-
Conferencia Invitada. “Dynamics of evolutionary equations under perturbations of the domain”
+
Conferencia Invitada. “Dynamics of evolutionary equations under
-
Jornada: “Jornada Científica sobre Ecuaciones Deterministas y Estocásticas”, Universidad de Sevilla Noviembre 2006
+
perturbations of the domain”
 +
Jornada: “Jornada Científica sobre Ecuaciones Deterministas y
 +
Estocásticas”, Universidad de Sevilla Noviembre 2006
J. Arrieta
J. Arrieta
-
Conferencia Invitada. “Asymptotics for the spectra in dumbbell domains”
+
Conferencia Invitada. “Asymptotics for the spectra in dumbbell
-
Jornada: “On spectral perturbation problems and homogenization”, Universidad de Cantabria Diciembre 2006
+
domains”
 +
Jornada: “On spectral perturbation problems and homogenization”,
 +
Universidad de Cantabria Diciembre 2006
J. Arrieta
J. Arrieta
-
Conferencia Invitada: “Equations with nonlinear boundary conditions in domains with rapidly oscillating  boundaries”
+
Conferencia Invitada: “Equations with nonlinear boundary conditions in
-
Congreso: “Partial Differential Equations, Optimal Design and Numerics 2007”, Benasque, Huesca.
+
domains with rapidly oscillating  boundaries”
 +
Congreso: “Partial Differential Equations, Optimal Design and Numerics
 +
2007”, Benasque, Huesca.
28 Agosto- 7 de septiembre 2007
28 Agosto- 7 de septiembre 2007

Revisión de 17:16 22 nov 2007

Contenido

Publicaciones 2002

  1. J. M. Arrieta, N. Consul, A. Rodríguez-Bernal “Pattern Formation from boundary reaction” Fields Inst. Commun., 31, pp. 13-18, Amer. Math. Soc., Providence, RI, (2002).
  1. X. Biao Lin, I. Bosch “Heteroclinic and periodic cycles in a perturbed convection model” Journal of Differential Equations 182 pp. 219-265 (2002)


  1. R. Ferreira, P. Groisman y J. D. Rossi, “Numerical Blow-up for a nonlinear problem with a nonlinear boundary condition” Math. Models and Methods in Applied Sciences, 12, 461--483, 2002

R. Ferreira, V. A. Galaktionov y J. L. Vázquez, “Uniqueness of Asymptotic Profiles for and extinction Problem” Nonlinear Analysis T. M. A., 50, 495--507, 2002

R. Ferreira, F. Quiros y J. D. Rossi “The balance between nonlinear inwards and outwards boundary-flux for nonlinear heat equations” Journal of Differential Equation, 184, 259--282, 2002

A. Jiménez-Casas and A. Rodríguez-Bernal. Asymptotic behaviour for a phase field model in higher order Sobolev spaces. Rev. Mat. Complut., 15(1):213-248, 2002.

A. Rodríguez-Bernal. Some qualitative dynamics of nonlinear boundary conditions. Internat. J. Bifur. Chaos Appl. Sci. Engrg., 12(11):2333-2342. Spatio-temporal complexity. (2002)

A. Rodríguez-Bernal. Attractors for parabolic equations with nonlinear boundary conditions, critical exponents, and singular initial data. J. Differential Equations, 181(1):165-196, 2002.

R. Dager, E. Zuazua “Spectral boundary controllability of networks of strings”, C.R. Acad. Sci. Paris, Serie I, 334 (7), 545-550, (2002)

Publicaciones 2003

J. Fernández Bonder, R. Ferreira y J. D. Rossi, “Uniform bounds for the best Sobolev trace constant” Advanced Nonlinear Studies, 3, 181--192, 2003

R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “The blow-up profile for a fast diffusion equation with a nonlinear boundary condition” Rocky Mountain J. Math, 33, 123--146, 2003

R. Ferreira y J. L. Vázquez “Study of self-similarity for the fast difusión equation” Advances in Differential Equations, 8, 1125--1152, 2003

R. Ferreira, P. Groisman y J. D. Rossi , “An adaptive numerical scheme for a parabolic problem with blow-up” IMA Journal of Numerical Análisis, 23, 439--463, 2003

M. Negreanu, E. Zuazua, “Uniform boundary controllabillity of a discrete 1-D wave equation” , System and Control Letters, 48, Issues 3-4 pp 261-279 (2003)

M. Negreanu, E. Zuazua, “A 2-d grid algorithm for the 1-d wave equation” Proceedings of the Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, Physcis and Astronomy, pp. 213-217, Springer (2003)

R. Rodríguez del Río, E. Zuazua, “Series de Fourier y fenómeno de Gibbs”, Cubo Matemática Eduacional, 5 pp. 185-224 (2003)

Publicaciones 2004

J.M. Arrieta "El Cálculo y la Modelización Matemática", en R. Rodríguez, E. Zuazua, De la Aritmética al Análisis: Historia y Desarrollo reciente en Matemáticas, Aulas de Verano, Instituto Superior de Formación del Profesorado, Ministerio de Educación y Ciencia, pp 11-57 (2004)

J. M. Arrieta, A.N. Carvalho "Spectral Convergence and Nonlinear Dynamics for Reaction-Diffusion Equations under Perturbations of the Domain" Journal of Diff. Equations 199, pp. 143-178 (2004)

J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Asymptotic Behavior and Attractors for Reaction Diffusion Equations in Unbounded Domains" Nonlinear Analysis, 56, pp. 515-554 (2004)

J. M. Arrieta, N. Consul, A. Rodríguez-Bernal, "Stable boundary layers in a diffusion problem with nonlinear reaction at the boundary" Z.. Angew. Math. Phys. 55, pp. 1-14 (2004)

J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Linear parabolic equations in locally uniform spaces" Mathematical Models and Methods in Applied Sciences, 14, n. 2, 253-294 (2004)

J. M. Arrieta, A. Rodríguez-Bernal and P. Souplet, "Boundedness of Global Solutions for Nonlinear Parabolic Equations involving Gradient Blow-up Phenomena" Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. Issue 1, Volume 3/2004, Series 5, pp 1-15, (2004)

J. M. Arrieta, A. Rodríguez-Bernal "Localization on the boundary of blow-up for reaction-diffusion equations with nonlinear boundary conditions" Communications in Partial Differential Equations 29, 7&8, pp. 1127-1148 (2004)

J.M. Arrieta, A. Rodríguez-Bernal "Non well posedness of parabolic equations with supercritical nonlinearities" Communications in Contemporary Mathematics 6, n 5, pp. 733-764 (2004)

E. Chasseigne y R.Ferreira, “Monotone approximations of Green functions” Comptes Rendus Mathématique. Académie des Sciences. Paris, 339, 395--400, 2004

R. Ferreira, P. Groisman y J. D. Rossi., “Numerical blow-up for the porous medium equation with a source” Numerical Methods for Partial Differential Eq, 20, 552--575, 2004

R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Superfast quenching” Journal Differential Equations, 199, 189--209, 2004

M. Negreanu, E. Zuazua “Discrete Ingham inequalities and applications”, CRAS Paris, Serie I. Math 338 pp 281-286 (2004)

L. Popescu and A. Rodríguez-Bernal. On a singularly perturbed wave equation with dynamic boundary conditions. Proc. Roy. Soc. Edinburgh Sect. A, 134(2):389-413, 2004.

R. Dager, “Networks of strings: modelization and control of vibrations”, e-STA, vol 1, (2004)

R. Dager, “Observation and control of vibrations in tree-shaped networks of strings” SIAM Journal on Control and Optimization 43, 590-623, (2004)

Publicaciones 2005

J.M. Arrieta, A. Rodríguez-Bernal. "Ill posed problems with supercritical nonlinearities. International Conference on Differential Equations (EQUADIFF'03) Hasselt, Belgium. World Scientific, pp 277 280, (2005) ,

J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal "Nonhomogenous flux condition as limit of localized reactions. International Conference on Differential Equations (EQUADIFF'03) Hasselt, Belgium. World Scientific, pp 293-295, (2005),

J.M. Arrieta, S. M. Bruschi "Problemas de valor de fronteira em domínios com oscilaçōes na fronteira", Seminario Brasileiro de Análise, Edición nº 62, Noviembre (2005),

R. Ferreira, A. de Pablo, F. Quiros y J. L. Vázquez, “Blow-up. El problema matemático de explosión para ecuaciones y sistemas de reacción difusión” Boletín de la Soc. Española de Matemática Aplicada, 32, 75-111, 2005

P. Quittner and A. Rodríguez-Bernal. Complete and energy blow-up in parabolic problems with nonlinear boundary conditions. Nonlinear Anal. TMA, 62(5):863-875, (2005).

A. Rodríguez-Bernal and A. Vidal-López. Extremal equilibria and asymptotic behavior of parabolic nonlinear reaction-diffusion equations. In Nonlinear elliptic and parabolic problems: A Special Tribute to the Work of H. Amann., volume 64 of Progr. Nonlinear Differential Equations Appl., pages 509-516. Birkhäuser, Basel, (2005).

A. Rodríguez-Bernal. Parabolic equations in locally uniform spaces. In Nonlinear elliptic and parabolic problems, volume 64 of Progr. Nonlinear Differential Equations Appl., pages 421-432. Birkhäuser, Basel, (2005).

A. Rodríguez-Bernal and R. Willie. Singular large diffusivity and spatial homogenization in a non homogeneous linear parabolic problem. Discrete Contin. Dyn. Syst. Ser. B, 5(2):385-410, (2005).

R. Ferreira, A. de Pablo y M. Pérez-Llanos, “Numerical blow-up for the p-laplacian equation with a source”, Computational Methods in Applied Mathematics 5, 137-154, (2005)

R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “On the quenching set for a fast diffusion equation.Regional quenching”, Proceedings of the Royal Society of Edinburgh. Section A, 135, 585—601, (2005)


A. Jiménez-Casas, “Metastable solutions for the thin-interface limit of a phase-field model” Nonlinear Analysis, Volume 63, Issues 5-7, 963-970, (2005)

A. Jiménez-Casas, “Well posedness and asymptotic behavior of a closed loop thermosyphon”, World Scientific Publications pp: 59-74, (2005)


Publicaciones 2006

R. Dager, E. Zuazua, “Wave propagation, observation and control of 1-D flexible multi-structures”, Mathematiques et Applications 50, Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9; 3-540-27239-9 [LIBRO DE INVESTIGACIÓN]

I. Bosch, A. M. Minzoni, “Chaotic behavior in a singularly perturbed system” Nonlinearity 19, 1535-1551 (2006)

M. Negreanu, E. Zuazua “Discrete Ingham inequalities and applications”, SIAM Journal of Numerical Analysis, Volume 44, Issue I (2006) pp 412-4448

A. Rodríguez-Bernal and A. Vidal, “Asymptotic behavior of positive solutions of nonautonomous reaction-diffusion equations”, Bol. Soc. Esp. Mat. Apl. 34, 99-104 (2006)

J. C. Robinson, A. Vidal–López, “Minimal periods of semilinear evolution equations with Lipschitz nonlinearity”. Jounal of Differential Equations, Vol. 220 (2), 396–406 (2006).

J.M. Arrieta, S. M. Bruschi "Boundary Oscillations and Nonlinear Boundary Conditions", Comptes Rendus Mathematique, t. 343, Series I, pp. 99-104 (2006)

J.M. Arrieta, A. Rodríguez-Bernal, J. Valero "Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity", International Journal of Bifurcation and Chaos 16, n. 10, pp. 2965-2984 (2006)

J.M. Arrieta A.N. Carvalho and G. Lozada-Cruz "Dynamics in dumbbell domains I. Continuity of the set of equilibria" Journal of Differential Equations 231, Issue 2, pp. 551-597, (2006),

R. Ferreira, A. de Pablo y J. L. Vázquez, “Classification of blow-up with nonlinear diffusion and localized reaction”, Journal Differential Equations 231, 195—211, (2006)

R. Ferreira, A. de Pablo, G. Reyes y A. Sánchez, “The interfaces of an inhomogeneous porous médium equation with convection” Communications in Partial Differential Equations , 31, 497—514, (2006)

R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up for a degenerate diffusion problem not in divergence form”, Indiana University Mathematics Journal , 55, 955—974, (2006)

R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Non-simultaneous quenching in a system of heat equations coupled at the boundary” Zeitschrift fur Angewandte Mathematik und Physik , 57, 586—594, (2006).

R. Ferreira, A. de Pablo y J. L. Vázquez, “Classification of blow-up with nonlinear diffusion and localized reaction” Aparecerá en Journal Differential Equations 231, 195-211 (2006)

R. Pardo, V. M. Pérez-García, “Dissipative solutions that cannot be trapped”, Phys. Rev. Lett. 97, (2006).

R. Dager, A. Presa, “Duality of the space of germs of harmonic vector fields on a compact”, C.R. Acad. Sci. Paris, Serie I, 343 (1), 19-22, (2006)

R. Dager, “Insensitizing controls for the 1-D wave equation”, SIAM Journal on Control and Optimization 45, 1758-1768, (2006)


Publicaciones 2007

J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal "Bifurcation and stability of equilibria with asymptotically linear boundary conditions at infinity", Proc. of the Royal Society of Edinburgh A, Vol.137, Issue 02, 225-252. (2007),

A. Rodríguez-Bernal, R. Willie, “Nesting inertial manifolds of reaction-diffusion equations and large diffusivity. Nonlinear Analisis 67, 70-93 (2007)

A. Rodríguez-Bernal, A. Vidal, “Existence, uniqueness and attractivity properties of positive complete trajectories for non-autonomous reaction-diffusion problems”, Disc. Cont. Dyn. Systems 18, 537--567, (2007)

J.A. Langa, J.C. Robinson, A.Rodríguez-Bernal, A. Suárez, A. Vidal, “Existence and non-existence of unbounded forward attractor for a class of nonautonomous reaction diffusion equations”. Disc. Cont. Dyn. Systems 18, 483—497, (2007)

J.M. Arrieta, S.M. Bruschi “Rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a Lipschitz deformation”, Mathematical Models and Methods in Applied Sciences 17, nº 10 (2007)

R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up with logarithmic nonlinearities”, Journal Differential Equations 240, Issue 1, Pages 196-215 (2007)

J.C. Robinson, A. Rodríguez-Bernal, A. Vidal-López, “Pullback attractors and extremal complete trajectories for non-autonomous reaction-diffusion problems”, Journal of Differential Equations 238, 289-337 (2007)

U. Brauer, L. Karp, “Local existence of classical solutions of the Einstein-Euler system using weighted Sobolev spaces of fractional order”, Comptes Rendus Mathematique 345, pp 49-54 (2007)

J. A. Langa, J. C. Robinson, A. Suárez, A. Vidal-López, “The stability of attractors for non-autonomous perturbation of gradient-like systems”, Journal of Differential Equations 234, 605-627 (2007).

J. M. Arrieta and A. Rodríguez-Bernal, “Blow up versus global boundedness of solutions of reaction diffusion equations with nonlinear boundary conditions”, Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 1-7

J. M. Arrieta, A. Jimenéz-Casas and A. Rodríguez-Bernal, “Robin type conditions arising from concentrated potentials”, Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 157-164

A. de Pablo, M. Pérez-Llanos and R. Ferreira, “Numerical blow-up for the p-Laplacian equation with a nonlinear source” Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 363-367

J. M. Arrieta, N. Moya, A. Rodríguez-Bernal, “Dissipative dynamics of reaction diffusion equations in R^N” Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007), pp 405-414.

A. Rodríguez-Bernal and A. Vidal-López, “Extremal equilibria for parabolic non-linear reaction-diffusion equations”, Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 531-539

J.M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Dissipative parabolic equations in locally uniform spaces", Mathematische Nachrichten 280, Issue 15 (2007)


Aceptados para publicación

J.M. Arrieta, “On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions”, Proceedings of the American Mathematical Society

J.M. Arrieta, A. Rodríguez-Bernal, J. Rossi, "The best Sobolev trace constant as limit of the usual Sobolev constant for small strips near the boundary", Proceedings of the Royal Society of Edinburgh A,

J.M. Arrieta, A. Jiménez-Casas and A. Rodríguez-Bernal, "Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating in the boundary" Revista Matemática Iberoamericana

J.M. Arrieta, N. Moya, A. Rodríguez-Bernal, "On the finite dimension of attractors of parabolic problems in $R^N$ with general potentials", Nonlinear Analysis, Theory Methods and Appications

M. Bogoya, R. Ferreira, J.D. Rossi, “Neumann boundary conditions for a nonlocal nonlinear diffusion operator. Continuous and discrete models” Proceedings of the American Mathematical Society

M. Bogoya, R. Ferreira y J. D. Rossi, “A nonlocal nonlinear diffusion equation with blowing up boundary conditions”, Journal of Mathematical Analysis and Applications

A. Rodríguez-Bernal, A. Vidal-López, “Semiestable extremal ground states for nonlinear evolution equations in unbounded domains”, Journal of Mathematical Analysis and Applications

A Jiménez Casas, “Invariant regions and global existence for a phase field model”, Discrete and Cont. Dynam. Systems.

A.Jiménez Casas, M. Castro Ponce, “Slow motion for a phase field model” Mathematical Methods in the Applied Science.

Libros de investigación

R. Dager, E. Zuazua, “Wave propagation, observation and control of 1-D flexible multi-structures”, Mathematiques et Applications 50, Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9; 3-540-27239-9

Libros docentes

S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”, Editorial Síntesis. (En prensa)

R. Rodríguez, E. Zuazua, “De la aritmética al análisis. Historia y desarrollo reciente en matemáticas” Ministerio de Educación y Ciencia. (ISBN: 84-369-3845-3).


Ponencias y Comunicaciones a Congresos

R. Ferreira Conferencia Invitada “The balance between nonlinear reaction and absorption at the boundary” Congreso IV Pan-American Workshop in Applied and Computacional Mathematics, Cordoba (Argentina) (2002)

M. Negreanu, Ponencia: “Multi-grid filtering method” Congreso: International Conference HMS2000 Midterm Review Heidelberg, Heidlberg Alemania (2002)

R. Ferreira Conferencia Invitada: “ Quenching Phenomena for a very fast difusión equation”. Congreso: First Workshop on Elliptic and Parabolic Partial Differential Equations, Santiago de Chile (Chile) (2003)

J. Arrieta, R. Pardo, A. Rodríguez-Bernal, Ponencia: “Problemas Elipticos con condiciones de contorno asintoticamente lineales en infinito” Congreso: XVIII CEDYA, Tarragona (2003)

J.M. Arrieta, A. Rodríguez-Bernal Conferencia Invitada: “Non-well posedness of parabolic equations with supercritical nonlinearities” Congreso: EQUADIFF 2003, Hasselt Belgica, (2003)

J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal, Ponencia: “Flux Condition induced by concentrated reactions” Congreso: EQUADIFF 2003, Hasselt Belgica, (2003)

J.M. Arrieta, A. Rodríguez-Bernal Ponencia: “Ecuaciones en derivadas parciales supercriticas y problemas mal planteados” Congreso: XVIII CEDYA, Tarragona (2003)

J.M. Arrieta, A. Rodríguez-Bernal, A. Vidal-López Ponencia: “Regiones atractoras delimitadas por puntos de equilibrio extremales para ecuaciones de reacción-difusión” Congreso: XVIII CEDYA, Tarragona (2003)

J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal Ponencia: “Condición de flujo no-homogénea como límite de reacciones localizadas” Congreso: XVIII CEDYA, Tarragona (2003)

Negreanu, E. Zuazua Ponencia: “A 2-grid algorithm for the 1-D wave equation” Congreso: International Conference Waves 2003, INRIA, Universidad de Jyavaskyla, Finlandia (2003)

Negreanu, E. Zuazua Ponencia: “Discrete inequalities” Congreso: Intenational Conference “New trends in Continuum Mechanics”, Universidad de Constanta, Rmanía (2003)

U. Brauer, L. Karp Ponencia: “Existencia local de soluciones clásicas del sistema Einstein-Euler usando espacios de Soboleve de orden fraccionario con pesos” Congreso: XVIII CEDYA, Tarragona (2003)

J. Arrieta Conferencia Invitada: “Domain perturbation problems in Partial Differential Equations” Congreso: CNMAC’03, Sociedad Brasileira de Matemática Aplicada e Computacional, Sao Jose de Rio Preto, Brasil (2003)

J. Arrieta Ponencia: “Nonlinear Dynamics of Reaction-Diffusion equations under perturbations” Congreso: CNMAC’03, Sociedad Brasileira de Matemática Aplicada e Computacional, Sao Jose de Rio Preto, Brasil (2003)

R. Ferreira Conferencia Invitada: “Quenching Phenomena for a fast difusión equation”. Congreso: Workshop de Otoño en EDP's, Universidad Autónoma de Madrid (2004)

J.M. Arrieta, A. Rodríguez-Bernal Ponencia: “Ill posed parabolic problems with supercritical nonlinearities” Congreso: “Fifth European Conference on Elliptic and Parabolic Problems: A special tribute to the work of Haim Brezis”, Gaeta, Italia (2004)

A. Rodríguez-Bernal Ponencia: “Parabolic equations in locally uniform spaces” Congreso: “Nonlinear Elliptic and Parabolic Problems: A special tribute to the work of Herbert Amann”, Zurich, Suiza (2004)

A. Rodríguez-Bernal, A. Vidal-López Ponencia: “Extremal equilibria and asymptotic behaviour Parabolic equations in locally uniform spaces” Congreso: “Nonlinear Elliptic and Parabolic Problems: A special tribute to the work of Herbert Amann”, Zurich, Suiza (2004)

R. Ferreira, Conferencia Invitada “The Interfaces of an Inhomogeneous Porous Médium Equation with Convection” Congreso: III Internacional Symposium on Nonlinear and Free Boundary Problems, U. de Buenos Aires (Argentina) (2005)

J.Arrieta, R. Pardo, A. Rodríguez-Bernal Ponencia: Congreso: XIX CEDYA, Leganés, Madrid (2005)

J.M. Arrieta, A. Rodríguez-Bernal Conferencia Invitada: “Blow-up in reaction diffusion equations with nonlinear boundary conditions” Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)

J.M. Arrieta, N. Moya, A. Rodríguez-Bernal Ponencia: “Dissipative dynamics of reaction diffusion equations in Rn” Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)

J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal Ponencia: “Robin type conditions arising from concentrated potentials” Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)

A. Rodríguez-Bernal, A. Vidal-López Ponencia: “Extremal Equilibria for parabolic nonlinear reaction-diffusion equations” Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)

A. Rodríguez-Bernal, A. Vidal-López Ponencia: “Asymptotic behavior of nonautonomous reaction-diffusion equations” Congreso: “PDE's, Optimal Design and Numerics”, Centro de Ciencias de Benasque, Huesca (2005)

A. Rodríguez-Beranal, A. Vidal-López Ponencia: “Comportamiento asintótico de soluciones positivas de ecuaciones de reacción-difusión no autónomas” Congreso. “XIX CEDYA”, Leganés, Madrid (2005)

J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal Ponencia: “Ramas no acotadas de soluciones estables en problemas elípticos con condiciones de frontera asintóticamente lineales” Congreso: XIX CEDYA, Leganés, Madrid (2005)

A. Rodríguez-Bernal, A. Vidal-López Ponencia: “Trayectorias Completas extremales para ecuaciones de reacción-diffusión no autónomas” Congreso: XIX CEDYA, Leganés, Madrid (2005)

J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal Ponencia: “Condiciones de Robin provenientes de potenciales concentrados” Congeso “XIX CEDYA”, Leganés, Madrid (2005)

A. Rodríguez-Bernal, A. Vidal-López Ponencia: “Extremal complete trajectories for non-autonomous logistic equations I: existence” Congreso: “International Conference on non-autonomous and Stochastic Dynamical Systems”, Sevila (2005)

A. Rodríguez-Bernal, A. Vidal-López Ponencia: “Extremal complete trajectories for non-autonomous logistic equations II: uniqueness of positive solutions and stability properties” Congreso: “International Conference on non-autonomous and Stochastic Dynamical Systems”, Sevila (2005)

A. Rodríguez-Bernal, A. Vidal-López Ponencia: “Foward asymptotic behavior of positivie sulutions in a non-autonomous logistic equation” Congreso: “International Conference on non-autonomous and Stochastic Dynamical Systems”, Sevila (2005)

Negreanu, E. Zuazua Ponencia: “Uniform Observability of the wave equation via a discrete ingham inequality” Congreso: IEEE Conference on Decision and Control and European Control Conference ECC 2005, Universidad de Sevilla, (2005)

Negreanu, E. Zuazua Ponencia: “Convergence of a multi-grid algorithm for the controllability of the wave equation” Congreso: IEEE Conference on Decision and Control and European Control Conference ECC 2005, Universidad de Sevilla, (2005)

U. Brauer, G. Nagy Ponencia: “Buen planteamienteo de las ecuaciones de Euler compresibles linealizadas con frontera libre y autogravitación” Congreso: XIX CEDYA, Leganes, Madrid (2005)

J. Arrieta, S. Bruschi Ponencia: “Problemas de valor de fronteira em domínios com oscilaçōes na fronteira", Congreso: Seminario Brasileiro de Análise, Edición nº 62, Río de Janeiro, Brasil, Noviembre (2005),

J. Arrieta, K. Mischaikow Ponencia: “Estados de coexistencia con difusión pequeña” Congreso XIX CEDYA, Leganés, Madrid (2005)

J. Arrieta Conferencia Invitada: “Asymptotic behavior at the boundary of solutions of reaction-diffusion equations with nonlinear boundary conditions “ Congreso: “ICMC Summer Meeting in Differential Equations” 2006 Chapter. Congreso en memoria de D. Henry, Universidade de Sao Paulo, (2006)

R.Ferreira Conferencia Invitada “Explosión para una ecuación de difusión con reacción localizada” Congreso: Primer encuentro de ecuaciones en derivadas parciales, U. de la Laguna (2006)

R.Pardo Conferencia Invitada “ Problemas elípticos con condiciones de contorno sublineales en infinito: estabilidad y monotonía de ramas de soluciones no acotadas. ” Congreso: Primer encuentro de ecuaciones en derivadas parciales, U. de la Laguna (2006)

A.Rodríguez y A. Vidal Conferencia invitada: “Extremal equilibria for parabolic equations and applications”. Congreso: “6th AIMS International Conference on Dyn. Systems, Diff. Equations and Applications”, Poitiers (Francia). Junio 2006. Universidad de Poitiers y American Institute of Mathematical Sciences (AIMS).

A. Rodríguez Conferencia Invitada, “Blow-up and ill posed problems” Congreso: Second Euro Japanese Workshop on Blow-up, El Escorial, Septiembre (2006)

J. Arrieta Conferencia Invitada. “Dynamics of evolutionary equations under perturbations of the domain” Jornada: “Jornada Científica sobre Ecuaciones Deterministas y Estocásticas”, Universidad de Sevilla Noviembre 2006

J. Arrieta Conferencia Invitada. “Asymptotics for the spectra in dumbbell domains” Jornada: “On spectral perturbation problems and homogenization”, Universidad de Cantabria Diciembre 2006

J. Arrieta Conferencia Invitada: “Equations with nonlinear boundary conditions in domains with rapidly oscillating boundaries” Congreso: “Partial Differential Equations, Optimal Design and Numerics 2007”, Benasque, Huesca. 28 Agosto- 7 de septiembre 2007

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