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Publications
De Cadedif
(Diferencias entre revisiones)
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Línea 1: |
Línea 1: |
| == Publicaciones en revistas internacionales == | | == Publicaciones en revistas internacionales == |
| === Año 2002 === | | === Año 2002 === |
- | # 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).''' '''<br/> | + | # J. M. Arrieta, N. Consul, A. Rodríguez-Bernal “Pattern Formation |
- | # X. Biao Lin, I. Bosch “Heteroclinic and periodic cycles in a perturbed convection model”'' Journal of Differential Equations'' 182 pp. 219-265 (2002)<br/> | + | from boundary reaction”''' '''''Fields Inst. Commun.'', 31, pp. 13-18, |
- | # 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<br/> | + | Amer. Math. Soc., Providence, RI, (2002).''' '''<br/> |
- | # 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<br/> | + | # X. Biao Lin, I. Bosch “Heteroclinic and periodic cycles in a |
- | # 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<br/> | + | perturbed convection model”'' Journal of Differential Equations'' 182 |
- | # 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.<br/> | + | pp. 219-265 (2002)<br/> |
- | # A. Rodríguez-Bernal. Some qualitative dynamics of nonlinear boundary conditions. ''Internat. J. Bifur. Chaos Appl. Sci. Engrg.'', 12(11):2333-2342. Spatio-temporal comp lexity. (2002)<br/> | + | # R. Ferreira, P. Groisman y J. D. Rossi, “Numerical Blow-up for a |
- | # 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.<br/> | + | nonlinear problem with a nonlinear boundary condition”'' Math. Models |
- | # R. Dager, E. Zuazua “Spectral boundary controllability of networks of strings”, C.R. Acad. Sci. Paris, Serie I, 334 (7), 545-550, (2002)<br/> | + | and Methods in Applied Sciences'', 12, 461--483, 2002<br/> |
| + | # 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<br/> |
| + | # 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<br/> |
| + | # 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.<br/> |
| + | # A. Rodríguez-Bernal. Some qualitative dynamics of nonlinear boundary |
| + | conditions. ''Internat. J. Bifur. Chaos Appl. Sci. Engrg.'', |
| + | 12(11):2333-2342. Spatio-temporal comp lexity. (2002)<br/> |
| + | # 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.<br/> |
| + | # R. Dager, E. Zuazua “Spectral boundary controllability of networks |
| + | of strings”, C.R. Acad. Sci. Paris, Serie I, 334 (7), 545-550, |
| + | (2002)<br/> |
| === Año 2003 === | | === Año 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<br/> | + | # J. Fernández Bonder, R. Ferreira y J. D. Rossi, “Uniform bounds for |
- | # 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<br/> | + | the best Sobolev trace constant” ''Advanced Nonlinear Studies'', 3, |
- | # R. Ferreira y J. L. Vázquez “Study of self-similarity for the fast difusión equation” ''Advances in Differential Equations'', 8, 1125--1152, 2003<br/> | + | 181--192, 2003<br/> |
- | # 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<br/> | + | # R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “The blow-up |
- | # 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)<br/> | + | profile for a fast diffusion equation with a nonlinear boundary |
- | # 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)<br/> | + | condition” ''Rocky Mountain J. Math,'' 33, 123--146, 2003<br/> |
- | # R. Rodríguez del Río, E. Zuazua, “Series de Fourier y fenómeno de Gibbs”, Cubo Matemática Eduacional, 5 pp. 185-224 (2003)<br/> | + | # R. Ferreira y J. L. Vázquez “Study of self-similarity for the fast |
| + | difusión equation” ''Advances in Differential Equations'', 8, |
| + | 1125--1152, 2003<br/> |
| + | # 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<br/> |
| + | # 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)<br/> |
| + | # 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)<br/> |
| + | # R. Rodríguez del Río, E. Zuazua, “Series de Fourier y fenómeno de |
| + | Gibbs”, Cubo Matemática Eduacional, 5 pp. 185-224 (2003)<br/> |
| | | |
| === Año 2004 === | | === Año 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)<br/> | + | # J.M. Arrieta "El Cálculo y la Modelización Matemática", en R. |
- | # 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)<br/> | + | Rodríguez, E. Zuazua, ''De la Aritmética al Análisis: Historia y |
- | # 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) <br/> | + | Desarrollo reciente en Matemáticas,'' Aulas de Verano, Instituto |
- | # 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) <br/> | + | Superior de Formación del Profesorado, Ministerio de Educación y |
- | # 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)<br/> | + | Ciencia,pp 11-57 (2004)<br/> |
- | # 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) <br/> | + | # J. M. Arrieta, A.N. Carvalho "Spectral Convergence and Nonlinear |
- | # 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) <br/> | + | Dynamics for Reaction-Diffusion Equations under Perturbations of the |
- | # 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)<br/> | + | Domain" ''Journal of Diff. Equations ''199, pp. 143-178 (2004)<br/> |
- | # E. Chasseigne y R.Ferreira, “Monotone approximations of Green functions” ''Comptes Rendus Mathématique.'' Académie des Sciences. Paris, 339, 395--400, 2004<br/> | + | # J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, |
- | # 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<br/> | + | "Asymptotic Behavior and Attractors for Reaction Diffusion Equations |
- | # R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Superfast quenching”'' Journal Differential Equations'', 199, 189--209, 2004<br/> | + | in Unbounded Domains" ''Nonlinear Analysis, ''56, pp. 515-554 (2004) |
- | # M. Negreanu, E. Zuazua “Discrete Ingham inequalities and applications”, ''CRAS Paris'', Serie I. Math 338 pp 281-286 (2004)<br/> | + | <br/> |
- | # 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.<br/> | + | # J. M. Arrieta, N. Consul, A. Rodríguez-Bernal, "Stable boundary |
- | # R. Dager, “Networks of strings: modelization and control of vibrations”, e-STA, vol 1, (2004)<br/> | + | layers in a diffusion problem with nonlinear reaction at the boundary" |
- | # R. Dager, “Observation and control of vibrations in tree-shaped networks of strings” SIAM Journal on Control and Optimization 43, 590-623, (2004)<br/> | + | ''Z.. Angew. Math. Phys. ''55, pp. 1-14 (2004) <br/> |
| + | # 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)<br/> |
| + | # 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) |
| + | <br/> |
| + | # 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) <br/> |
| + | # 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)<br/> |
| + | # E. Chasseigne y R.Ferreira, “Monotone approximations of Green |
| + | functions” ''Comptes Rendus Mathématique.'' Académie des Sciences. |
| + | Paris, 339, 395--400, 2004<br/> |
| + | # 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<br/> |
| + | # R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Superfast |
| + | quenching”'' Journal Differential Equations'', 199, 189--209, |
| + | 2004<br/> |
| + | # M. Negreanu, E. Zuazua “Discrete Ingham inequalities and |
| + | applications”, ''CRAS Paris'', Serie I. Math 338 pp 281-286 |
| + | (2004)<br/> |
| + | # 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.<br/> |
| + | # R. Dager, “Networks of strings: modelization and control of |
| + | vibrations”, e-STA, vol 1, (2004)<br/> |
| + | # R. Dager, “Observation and control of vibrations in tree-shaped |
| + | networks of strings” SIAM Journal on Control and Optimization 43, |
| + | 590-623, (2004)<br/> |
| === Año 2005 === | | === Año 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) , <br/> | + | # J.M. Arrieta, A. Rodríguez-Bernal. "Ill posed problems with |
- | # 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), <br/> | + | supercritical nonlinearities''. International Conference on |
- | # 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), <br/> | + | Differential Equations (EQUADIFF'03) Hasselt, Belgium. World |
- | # 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<br/> | + | Scientific, pp 277 280, (2005) , <br/> |
- | # 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).<br/> | + | # J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal "Nonhomogenous |
- | # 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).<br/> | + | flux condition as limit of localized reactions''. International |
- | # 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).<br/> | + | Conference on Differential Equations (EQUADIFF'03) Hasselt, Belgium. |
- | # 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).<br/> | + | World Scientific, pp 293-295, (2005), <br/> |
- | # 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)<br/> | + | # J.M. Arrieta, S. M. Bruschi "Problemas de valor de fronteira em |
- | # 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)<br/> | + | domínios com oscilaçōes na fronteira", ''Seminario Brasileiro de |
- | # 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)<br/> | + | Análise,'' Edición nº 62, Noviembre (2005), <br/> |
- | # A. Jiménez-Casas, “Well posedness and asymptotic behavior of a closed loop thermosyphon”, World Scientific Publications pp: 59-74, (2005)<br/> | + | # 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<br/> |
| + | # 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).<br/> |
| + | # 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).<br/> |
| + | # 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).<br/> |
| + | # 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).<br/> |
| + | # 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)<br/> |
| + | # 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)<br/> |
| + | # 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)<br/> |
| + | # A. Jiménez-Casas, “Well posedness and asymptotic behavior of a |
| + | closed loop thermosyphon”, World Scientific Publications pp: 59-74, |
| + | (2005)<br/> |
| === Año 2006 === | | === Año 2006 === |
- | # R. Dager, E. Zuazua, “Wave propagation, observation and control of 1-D flexible multi-structures”, Mathematiques et Applications 50, Springer-Berlag Berlin (2006), <nowiki>x+221 pp. ISBN: 978-3-540-27239-9; 3-540-27239-9 [LIBRO DE INVESTIGACIÓN]</nowiki> | + | # R. Dager, E. Zuazua, “Wave propagation, observation and control of |
- | # I. Bosch, A. M. Minzoni, “Chaotic behavior in a singularly perturbed system” ''Nonlinearity'' 19, 1535-1551 (2006)<br/> | + | 1-D flexible multi-structures”, Mathematiques et Applications 50, |
- | # M. Negreanu, E. Zuazua “Discrete Ingham inequalities and applications”, ''SIAM Journal of Numerical Analysis,'' Volume 44, Issue I (2006) pp 412-4448<br/> | + | Springer-Berlag Berlin (2006), <nowiki>x+221 pp. ISBN: |
- | # 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) <br/> | + | 978-3-540-27239-9; 3-540-27239-9 [LIBRO DE INVESTIGACIÓN]</nowiki> |
- | # 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).<br/> | + | # I. Bosch, A. M. Minzoni, “Chaotic behavior in a singularly perturbed |
- | # J.M. Arrieta, S. M. Bruschi "Boundary Oscillations and Nonlinear Boundary Conditions", ''Comptes Rendus Mathematique, ''t. 343, Series I, pp. 99-104 (2006)<br/> | + | system” ''Nonlinearity'' 19, 1535-1551 (2006)<br/> |
- | # 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)<br/> | + | # M. Negreanu, E. Zuazua “Discrete Ingham inequalities and |
- | # 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),<br/> | + | applications”, ''SIAM Journal of Numerical Analysis,'' Volume 44, |
- | # 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)<br/> | + | Issue I (2006) pp 412-4448<br/> |
- | # R. Ferreira, A. de Pablo, G. Reyes y A. Sánchez, “The interfaces of an inhomogeneous porous médium equation with convection”'' Communications in Partial Differential Equation''s , 31, 497—514, (2006)<br/> | + | # A. Rodríguez-Bernal and A. Vidal, “Asymptotic behavior of positive |
- | # 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)<br/> | + | solutions of nonautonomous reaction-diffusion equations”, ''Bol. Soc. |
- | # 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).<br/> | + | Esp. Mat. Apl.'' 34, 99-104 (2006) <br/> |
- | # R. Pardo, V. M. Pérez-García, “Dissipative solutions that cannot be trapped”, ''Phys. Rev. Lett.'' 97, (2006). <br/> | + | # J. C. Robinson, A. Vidal–López, “Minimal periods of semilinear |
- | # 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)<br/> | + | evolution equations with Lipschitz nonlinearity”. ''Jounal of |
- | # R. Dager, “Insensitizing controls for the 1-D wave equation”, SIAM Journal on Control and Optimization 45, 1758-1768, (2006)<br/> | + | Differential Equations'', Vol. 220 (2), 396–406 (2006).<br/> |
| + | # J.M. Arrieta, S. M. Bruschi "Boundary Oscillations and Nonlinear |
| + | Boundary Conditions", ''Comptes Rendus Mathematique, ''t. 343, Series |
| + | I, pp. 99-104 (2006)<br/> |
| + | # 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)<br/> |
| + | # 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),<br/> |
| + | # 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)<br/> |
| + | # R. Ferreira, A. de Pablo, G. Reyes y A. Sánchez, “The interfaces of |
| + | an inhomogeneous porous médium equation with convection”'' |
| + | Communications in Partial Differential Equation''s , 31, 497—514, |
| + | (2006)<br/> |
| + | # 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)<br/> |
| + | # 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).<br/> |
| + | # R. Pardo, V. M. Pérez-García, “Dissipative solutions that cannot be |
| + | trapped”, ''Phys. Rev. Lett.'' 97, (2006). <br/> |
| + | # 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)<br/> |
| + | # R. Dager, “Insensitizing controls for the 1-D wave equation”, SIAM |
| + | Journal on Control and Optimization 45, 1758-1768, (2006)<br/> |
| | | |
| === Año 2007 === | | === Año 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),<br/> | + | # J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal "Bifurcation and |
- | # A. Rodríguez-Bernal, R. Willie, “Nesting inertial manifolds of reaction-diffusion equations and large diffusivity. ''Nonlinear Analisis'' 67, 70-93 (2007)<br/> | + | stability of equilibria with asymptotically linear boundary conditions |
- | # 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)<br/> | + | at infinity", ''Proc. of the Royal Society of Edinburgh A,'' Vol.137, |
- | # 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)<br/> | + | Issue 02, 225-252. (2007),<br/> |
- | # 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)<br/> | + | # A. Rodríguez-Bernal, R. Willie, “Nesting inertial manifolds of |
- | # R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up with logarithmic nonlinearities”, ''Journal Differential Equations ''240, Issue 1, Pages 196-215 (2007)<br/> | + | reaction-diffusion equations and large diffusivity. ''Nonlinear |
- | # 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)<br/> | + | Analisis'' 67, 70-93 (2007)<br/> |
- | # 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)<br/> | + | # A. Rodríguez-Bernal, A. Vidal, “Existence, uniqueness and |
- | # 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). <br/> | + | attractivity properties of positive complete trajectories for |
- | # 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 <br/> | + | non-autonomous reaction-diffusion problems”, ''Disc. Cont. Dyn. |
- | # 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 <br/> | + | Systems ''18, 537--567, (2007)<br/> |
- | # 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<br/> | + | # J.A. Langa, J.C. Robinson, A.Rodríguez-Bernal, A. Suárez, A. Vidal, |
- | # 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.<br/> | + | “Existence and non-existence of unbounded forward attractor for a |
- | # 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 <br/> | + | class of nonautonomous reaction diffusion equations”. ''Disc. Cont. |
- | # 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)<br/> | + | Dyn. Systems ''18, 483—497, (2007)<br/> |
- | #Bogoya, Mauricio; Ferreira, Raul; Rossi, Julio D. Neumann boundary conditions for a nonlocal nonlinear diffusion operator. Continuous and discrete models. Proc. Amer. Math. Soc. 135 (2007), no. 12, 3837--3846 | + | # 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)<br/> |
| + | # R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up with logarithmic |
| + | nonlinearities”, ''Journal Differential Equations ''240, Issue 1, |
| + | Pages 196-215 (2007)<br/> |
| + | # 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)<br/> |
| + | # 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)<br/> |
| + | # 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). <br/> |
| + | # 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 <br/> |
| + | # 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 <br/> |
| + | # 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<br/> |
| + | # 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.<br/> |
| + | # 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 <br/> |
| + | # 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)<br/> |
| + | #Bogoya, Mauricio; Ferreira, Raul; Rossi, Julio D. Neumann boundary |
| + | conditions for a nonlocal nonlinear diffusion operator. Continuous and |
| + | discrete models. Proc. Amer. Math. Soc. 135 (2007), no. 12, 3837--3846 |
| | | |
| === Año 2008 === | | === Año 2008 === |
| | | |
- | #J.M. Arrieta:" On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions" Proceedings of the American Mathematical Society 136, Issue 1, pp. 151-160 (2008) | + | #J.M. Arrieta:" On boundedness of solutions of reaction-diffusion |
- | #J.M. Arrieta, N. Moya, A. Rodríguez-Bernal: "On the finite dimension of attractors of parabolic problems in <math>R^N </math> with general potentials", Nonlinear Analysis, Theory Methods and Applications 68, Issue 5, pp. 1082-1099 (2008) | + | equations with nonlinear boundary conditions" Proceedings of the |
- | #J.M. Arrieta, A. Jimenez-Casas, A. Rodriguez-Bernal "Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating in the boundary" Revista Matemática Iberoamericana, 24 nº 1, pp. 183- 211 (2008) | + | American Mathematical Society 136, Issue 1, pp. 151-160 (2008) |
- | # A. Jiménez Casas, "Invariant regions and global existence for a phase field model", Discrete and Cont. Dynam. Systems. 1, nº 2 273-281 (2008) <br/> | + | #J.M. Arrieta, N. Moya, A. Rodríguez-Bernal: "On the finite dimension |
- | # M. Bogoya, R. Ferreira, J.D. Rossi, "A nonlocal nonlinear diffusion equation with blowing up boundary conditions", Journal of Mathematical Analysis and Applications 337, nº 2, 1284-1294 (2008) <br/> | + | of attractors of parabolic problems in <math>R^N </math> with general |
- | # A. Rodríguez-Bernal, A. Vidal-López, "Semiestable extremal ground states for nonlinear evolution equations in unbounded domains", Journal of Mathematical Analysis and Applications 338, nº 1, 675-694 (2008)<br/> | + | potentials", Nonlinear Analysis, Theory Methods and Applications 68, |
- | # 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 138A 223-237 (2008),<br/> | + | Issue 5, pp. 1082-1099 (2008) |
- | # Ferreira, Raúl; de Pablo, Arturo; Pérez-Llanos, Mayte; Rossi, Julio D. Incomplete quenching in a system of heat equations coupled at the boundary. J. Math. Anal. Appl. 346 (2008), no. 1, 145--154. | + | #J.M. Arrieta, A. Jimenez-Casas, A. Rodriguez-Bernal "Flux terms and |
- | # A. Rodríguez-Bernal, A. Vidal-López, Extremal equilibria for nonlinear parabolic equations in bounded domains and applications”. Journal of Differential Equations 244, 2983-3030 (2008). | + | Robin boundary conditions as limit of reactions and potentials |
| + | concentrating in the boundary" Revista Matemática Iberoamericana, 24 |
| + | nº 1, pp. 183- 211 (2008) |
| + | # A. Jiménez Casas, "Invariant regions and global existence for a |
| + | phase field model", Discrete and Cont. Dynam. Systems. 1, nº 2 |
| + | 273-281 (2008) <br/> |
| + | # M. Bogoya, R. Ferreira, J.D. Rossi, "A nonlocal nonlinear diffusion |
| + | equation with blowing up boundary conditions", Journal of Mathematical |
| + | Analysis and Applications 337, nº 2, 1284-1294 (2008) <br/> |
| + | # A. Rodríguez-Bernal, A. Vidal-López, "Semiestable extremal ground |
| + | states for nonlinear evolution equations in unbounded domains", |
| + | Journal of Mathematical Analysis and Applications 338, nº 1, 675-694 |
| + | (2008)<br/> |
| + | # 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 138A |
| + | 223-237 (2008),<br/> |
| + | # Ferreira, Raúl; de Pablo, Arturo; Pérez-Llanos, Mayte; Rossi, Julio |
| + | D. Incomplete quenching in a system of heat equations coupled at the |
| + | boundary. J. Math. Anal. Appl. 346 (2008), no. 1, 145--154. |
| + | # A. Rodríguez-Bernal, A. Vidal-López, Extremal equilibria for |
| + | nonlinear parabolic equations in bounded domains and applications”. |
| + | Journal of Differential Equations 244, 2983-3030 (2008). |
| <br/> | | <br/> |
| | | |
| === Año 2009 === | | === Año 2009 === |
- | # J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal, "Equilibria and global dynamics of a problem with bifurcation from infinity", Journal of Differential Equations 246, pp. 2055-2080 (2009).<br/> | + | # J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal, "Equilibria and global |
- | #R. Pardo, Víctor M. Pérez-García, ``Localization phenomena in Nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities: Theory and applications to Bose-Einstein condensates. Physica D: Nonlinear Phenomena, Vol. 238, (2009) | + | dynamics of a problem with bifurcation from infinity", Journal of |
- | 1352–136. | + | Differential Equations 246, pp. 2055-2080 (2009).<br/> |
| + | #R. Pardo, Víctor M. Pérez-García, ``Localization phenomena in |
| + | Nonlinear Schrödinger equations with spatially inhomogeneous |
| + | nonlinearities: Theory and applications to Bose-Einstein condensates. |
| + | Physica D: Nonlinear Phenomena, Vol. 238, (2009) 1352–136. |
| | | |
| == Publicaciones aceptadas == | | == Publicaciones aceptadas == |
- | # A.Jiménez Casas, M. Castro Ponce, “Slow motion for a phase field model” ''Mathematical Methods in the Applied Science. ''<br/> | + | # A.Jiménez Casas, M. Castro Ponce, “Slow motion for a phase field |
- | #J.A. Langa, J.C. Robinson, A. Rodríguez-Bernal, A. Suárez, "Permanence and asymptotically stable complete trajectories for non-autonomous Lotka-Volterra models with diffusion". SIAM J. Math.Anal. | + | model” ''Mathematical Methods in the Applied Science. ''<br/> |
- | #Ferreira, R. "Numerical quenching for the semilinear heat equation with a singular absorption". Journal of Computational Applied Mathematics | + | #J.A. Langa, J.C. Robinson, A. Rodríguez-Bernal, A. Suárez, |
- | # J. Cholewa, A. Rodríguez-Bernal, "Extremal equilibria for dissipative parabolic equations in locally uniform spaces". Mathematical Models and Methods in the Applied Sciences. | + | "Permanence and asymptotically stable complete trajectories for |
- | #R. Ferreira, M. Peréz-Llanos ``Numerical quenching of a system of equations coupled at the boundary". Mathematical Methods in the Applied Sciences | + | non-autonomous Lotka-Volterra models with diffusion". SIAM J. |
- | #R. Ferreira, A. de Pablo, M. Peréz-Llanos, J. D. Rossi, ``Critical exponents for a semilinear parabolic equation with variable reaction". Zeitschrift fur Angewandte Mathematik und Physik | + | Math.Anal. |
| + | #Ferreira, R. "Numerical quenching for the semilinear heat equation |
| + | with a singular absorption". Journal of Computational Applied |
| + | Mathematics |
| + | # J. Cholewa, A. Rodríguez-Bernal, "Extremal equilibria for |
| + | dissipative parabolic equations in locally uniform spaces". |
| + | Mathematical Models and Methods in the Applied Sciences. |
| + | #R. Ferreira, M. Peréz-Llanos ``Numerical quenching of a system of |
| + | equations coupled at the boundary". Mathematical Methods in the |
| + | Applied Sciences |
| + | #R. Ferreira, A. de Pablo, M. Peréz-Llanos, J. D. Rossi, ``Critical |
| + | exponents for a semilinear parabolic equation with variable reaction". |
| + | Zeitschrift fur Angewandte Mathematik und Physik |
| | | |
| == 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. 2007<br/> | + | # S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”, |
- | # 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).<br/> | + | Editorial Síntesis. 2007<br/> |
| + | # 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).<br/> |
Revisión de 10:32 14 oct 2009
Publicaciones en revistas internacionales
Año 2002
- 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).
- X. Biao Lin, I. Bosch “Heteroclinic and periodic cycles in a
perturbed convection model” Journal of Differential Equations 182
pp. 219-265 (2002)
- 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 comp lexity. (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)
Año 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)
Año 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)
Año 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)
Año 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. 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)
Año 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)
- Bogoya, Mauricio; Ferreira, Raul; Rossi, Julio D. Neumann boundary
conditions for a nonlocal nonlinear diffusion operator. Continuous and
discrete models. Proc. Amer. Math. Soc. 135 (2007), no. 12, 3837--3846
Año 2008
- J.M. Arrieta:" On boundedness of solutions of reaction-diffusion
equations with nonlinear boundary conditions" Proceedings of the
American Mathematical Society 136, Issue 1, pp. 151-160 (2008)
- J.M. Arrieta, N. Moya, A. Rodríguez-Bernal: "On the finite dimension
of attractors of parabolic problems in RN with general
potentials", Nonlinear Analysis, Theory Methods and Applications 68,
Issue 5, pp. 1082-1099 (2008)
- J.M. Arrieta, A. Jimenez-Casas, A. Rodriguez-Bernal "Flux terms and
Robin boundary conditions as limit of reactions and potentials
concentrating in the boundary" Revista Matemática Iberoamericana, 24
nº 1, pp. 183- 211 (2008)
- A. Jiménez Casas, "Invariant regions and global existence for a
phase field model", Discrete and Cont. Dynam. Systems. 1, nº 2
273-281 (2008)
- M. Bogoya, R. Ferreira, J.D. Rossi, "A nonlocal nonlinear diffusion
equation with blowing up boundary conditions", Journal of Mathematical
Analysis and Applications 337, nº 2, 1284-1294 (2008)
- A. Rodríguez-Bernal, A. Vidal-López, "Semiestable extremal ground
states for nonlinear evolution equations in unbounded domains",
Journal of Mathematical Analysis and Applications 338, nº 1, 675-694
(2008)
- 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 138A
223-237 (2008),
- Ferreira, Raúl; de Pablo, Arturo; Pérez-Llanos, Mayte; Rossi, Julio
D. Incomplete quenching in a system of heat equations coupled at the
boundary. J. Math. Anal. Appl. 346 (2008), no. 1, 145--154.
- A. Rodríguez-Bernal, A. Vidal-López, Extremal equilibria for
nonlinear parabolic equations in bounded domains and applications”.
Journal of Differential Equations 244, 2983-3030 (2008).
Año 2009
- J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal, "Equilibria and global
dynamics of a problem with bifurcation from infinity", Journal of
Differential Equations 246, pp. 2055-2080 (2009).
- R. Pardo, Víctor M. Pérez-García, ``Localization phenomena in
Nonlinear Schrödinger equations with spatially inhomogeneous
nonlinearities: Theory and applications to Bose-Einstein condensates.
Physica D: Nonlinear Phenomena, Vol. 238, (2009) 1352–136.
Publicaciones aceptadas
- A.Jiménez Casas, M. Castro Ponce, “Slow motion for a phase field
model” Mathematical Methods in the Applied Science.
- J.A. Langa, J.C. Robinson, A. Rodríguez-Bernal, A. Suárez,
"Permanence and asymptotically stable complete trajectories for
non-autonomous Lotka-Volterra models with diffusion". SIAM J.
Math.Anal.
- Ferreira, R. "Numerical quenching for the semilinear heat equation
with a singular absorption". Journal of Computational Applied
Mathematics
- J. Cholewa, A. Rodríguez-Bernal, "Extremal equilibria for
dissipative parabolic equations in locally uniform spaces".
Mathematical Models and Methods in the Applied Sciences.
- R. Ferreira, M. Peréz-Llanos ``Numerical quenching of a system of
equations coupled at the boundary". Mathematical Methods in the
Applied Sciences
- R. Ferreira, A. de Pablo, M. Peréz-Llanos, J. D. Rossi, ``Critical
exponents for a semilinear parabolic equation with variable reaction".
Zeitschrift fur Angewandte Mathematik und Physik
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. 2007
- 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).
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