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Publications before 2018
De Cadedif
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Year 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)
Year 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)
Year 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)
Year 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)
Year 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)
Year 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
Year 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 Di?erential Equations 244, 2983-3030 (2008).
Year 2009
- R. Ferreira, “Numerical quenching for the semilinear heat equation with a singular absorption”, J. Comput. Appl. Math. 228, 92—103, (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, V.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, 1352-1360. (2009)
- J.M. Arrieta, A. N. Carvalho, G. Lozada-Cruz , “Dynamics in dumbbell domains II. The limiting problem” Journal of Differential Equations 247, pp 174-202 (2009)
- J.M. Arrieta, A. N. Carvalho, G. Lozada-Cruz , “Dynamics in dumbbell domains III. Continuity of attractors”, Journal of Differential Equations, 247, pp. 225-259, (2009)
- J. Langa, J. Robinson, A. Rodriguez-Bernal, A. Suárez, “Permanence and asymptotically stable complete trajectories for non-autonomous Lotka-Volterra models with diffusion”, SIAM J. Math. Anal., Volume 40, Pages 2179-2216, (2009)
- A. Rodríguez-Bernal, “Perturbation of the exponential type of linear nonautonomous parabolic equations and applications to nonlinear equations”, Discrete and Continuous Dynamical Systems A., vol. 25, 1003-1032 (2009).
- A. Jiménez Casas, A. Rodríguez Bernal, “Asymptotic behaviour of a parabolic problem with terms concentrated in the boundary”, Nonlinear Analysis, Theory Methods and Applications 71, pp: e-2377-2383 (2009)
- A.Jiménez-Casas, A. Rodríguez–Bernal, “Atractor de un problema parabólico con términos concentrados en la frontera”. Actas CEDYA 2009. XXI CEDYA / XI CMA. Ciudad Real. Sema. 2009. ISBN: 978-84-692-64
- J.Cholewa, A. Rodríguez Bernal,“Algunas propiedades dinámicas de semigrupos monótonos y aplicaciones”. Actas CEDYA 2009. XXI CEDYA / XI CMA. Ciudad Real. Sema. 2009. ISBN: 978-84-692-64
- Rodríguez Bernal, A.Vidal López, “Dinámica asintótica de problemas de reacción-difusión con balance no lineal entre la reacción en el interior y en la frontera” Actas CEDYA 2009. XXI CEDYA / XI CMA. Ciudad Real. Sema. 2009. (6 páginas). ISBN: 978-84-692-64
- R. Pardo, H. Herrero, “Existencia de soluciones para un problema de Bénard-Marangoni”. Actas CEDYA 2009. XXI CEDYA / XI CMA. Ciudad Real. Sema. 2009. (6 páginas). ISBN: 978-84-692-64
- R. Ferreira, M. Pérez-Llanos, Numerical quenching of a system of equations coupled at the boundary, Mathematical Methods in the Applied Sciences, 32, pp. 2439-2459, (2009)
Year 2010
- J. M. Arrieta, R. Ferreira, A. de Pablo y J. D. Rossi, Stability of the blow-up time and the blow-up set under perturbations, Discrete and Continuous Dynamical Systems A 26, # 1, pp 43-61 (2010)
- J.M. Arrieta, N. Consul and S. Oliva , “Cascades of Hopf bifurcations from boundary delay”, Journal of Mathematical Analysis and Applications 361, pp. 19-37 (2010)
- J. M. Arrieta, D. Krejcirik, "Geometric vs. spectral convergence for the Neumann Laplacian under exterior perturbations of the domain", Integral methods in science and engineering. Vol. 1, pp:9-19, Birkhäuser Boston, Inc., Boston, MA, (2010)
- J. M. Arrieta, S.M. Bruschi, "Very rapidly varying boundaries in equations with nonlinear boundary conditions. The case of non uniform Lispschitz deformation" Discrete and Continuous Dynamical Systems B, Volume 14, Number 2, pp. 327-351 (2010)
- J. M. Arrieta, M.C. Pereira, “Elliptic problems in thin domains with highly oscillating boundaries”, Bolletin de la Sociedad Española de Matemática Aplicada 51, pp:17-24 (2010)
- J.M. Arrieta, N. Consul, S. Oliva “On the supercriticality of the first Hopf bifurcation in a delay boundary problem” International Journal of Bifurcation and Chaos 20, #9 (2010)
- J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal, “Infinite resonant solutions and turning points in a problem with unbounded bifurcation” International Journal of Bifurcation and Chaos 20, #9 (2010)
- J.A. Langa, A. Rodríguez-Bernal and A. Suárez, "The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model". Bol. Soc. Esp. Mat. Apl. 51, 91--98 (2010).
- J.A. Langa, A. Rodríguez-Bernal and A. Suárez, "On the long time behaviour of non-autonomous Lotka-Volterra models with diffusion via the sub-super trajectory method". Journal of Differential Equations 249, 414--445 (2010).
- J. Cholewa, A. Rodríguez-Bernal, "Extremal equilibria for monotone semigroups with applications to evolutionary equations". Journal of Differential Equations 249, 485--525 (2010).
Year 2011
- J. M. Arrieta, M.C. Pereira, Homogenization in a thin domain with an oscillatory boundary, Journal de Mathématiques Pures et Apliquées 96, #1, pp: 29-57 (2011)
- J.M. Arrieta, M. López-Fernández, E. Zuazua, On a nonlocal moving frame approximation of traveling waves Comptes Rendus Mathematique 349 pp. 753-758 (2011)
- J.M. Arrieta, A.N. Carvalho, M.C. Pereira, R.P. da Silva, Semilinear parabolic problems in thin domains with a highly oscillatory boundary, Nonlinear Analysis: Theory, Methods and Applications 74, #15 pp: 5111-5132 (2011)
- R. Ferreira, Quenching phenomena for a non-local diffusion equation with a singular absorption. Israel Journal of Mathematics, Israel J. Math. 184 pp. 387–402 (2011)
- C. Brändle, E. Chasseigne, R. Ferreira, Unbounded solutions of the nonlocal heat equation, Commun. Pure Appl. Anal. 10 no. 6, pp. 1663–1686, (2011)
- A. Rodríguez-Bernal, Perturbation of analytic semigroups in scales of banach spaces and applications to linear parabolic equations with low regularity data, SeMA Journal No. 53, pp. 3–54, (2011)
- A. Jiménez-Casas, A. Rodríguez-Bernal, Singular limit for a nonlinear parabolic equation with terms concentrating on the boundary, J. Math. Anal. Appl. 379, no. 2, pp. 567–588, (2011).
- Uwe Brauer, Lavi Karp, Well-posedness of the Einstein–Euler system in asymptotically flat pacetimes: The constraint equations, Journal of Diff. Equations 251, Issue 6, pp. 1428-1446 (2011)
- A. Jiménez-Casas, A. Rodríguez-Bernal, Dynamic boundary conditions as limit of singularity perturbed parabolic problems, Discrete and Continuous Dynamical System A, Supplement 2011. Dedicated to the 8th AIMS Conference.pp. 737-746, (2011).
- R. Pardo, H. Herrero and S. Hoyas, Theoretical study of a Bénard-Marangoni problem, Journal of Mathematical Analysis and Applications, Vol. 376, pp. 231-246 (2011)
- Juan J. Nieto, Rosana Rodríguez, Manuel Villanueva, Green’s Function for the Periodic Boundary Value Problem Related to a First-order Impulsive Differential Equation and Applications to Functional Problems, Differ. Equ. Dyn. Syst. 19, no. 3, 199–210 (2011)
- Juan J. Nieto, Rosana Rodríguez, Manuel Villanueva; Exact solution to the periodic boundary value problem for a first-order linear fuzzy differential equation with impulses. Fuzzy Optimization and Decision Making, Volume 10 Issue 4, (2011).
Year 2012
- R. Pardo, A.L. Pereira, J.C. Sabina de Lis, “The tangential variation of a localized flux-type eigenvalue problem”, Journal of Differential Equations, 252, Issue 3, pp. 2104–2130 (2012)
- A. Rodríguez-Bernal, A singular perturbation in a linear parabolic equation with terms concentrating on the boundary, Revista Matemática Complutense 25, nº.1, pp. 165–197 (2012).
- J. W. Cholewa, A. Rodriguez-Bernal, Linear and semilinear higher order parabolic equations in $R^N$, Nonlinear Analysis TMA 75, pp. 194-210 (2012).
- J.M. Arrieta, M. López-Fernández, E. Zuazua, “Approximating travelling waves by equilibria of non local equations”, Asymptotic Analysis 78 pp. 145-186 (2012)
- J.M. Arrieta, A.N. Carvalho, J.A. Langa, A. Rodríguez-Bernal, Continuity of dynamical structures for non-autonomous evolution equations under singular perturbations, Journal of Dynamics and Differential Equations 24, #3 pp 427-481 (2012)
- J. W. Cholewa, A. Rodriguez-Bernal, ``Dissipative mechanism of a semilinear higher order parabolic equation in $\R^N$. Nonlinear Analysis TMA 75, 3510--3530 (2012).
- J. W. Cholewa, A. Rodriguez-Bernal, ``On the Cahn--Hilliard equation in $H^{1}(\R^{N})$. Journal of Differential Equations 253, 3678--3726 (2012).
- A. Jiménez-Casas and A. Rodríguez-Bernal, ``Dynamic boundary conditions as a singular limit of parabolic problems with terms concentrating at the boundary. Dynamics of Partial Differential Equations 9, 341--368 (2012).
- R. Pardo, Bifurcation for an elliptic problem with nonlinear boundary conditions, Integración. Temas de matemáticas. Vol 30, Nº 2, 151-226 (2012)
- R. Pardo, A. Castro, “Resonant solutions and turning points in an elliptic problem with oscillatory boundary conditions”, Pacific Journal of Mathematics 257 pp. 75-90 (2012)
- R. Ferreira, A. de Pablo, M. Pérez-Llanos and J. D. Rossi , “Critical exponents for a parabolic semilinear equation with variable reaction”, Proc. Roy. Soc. Edinburgh Sect. A 142, no. 5, 1027–1042 (2012)
- R. Ferreira and M. Pérez-Llanos "Blow-up for the non-local p-Laplacian equation with a reaction term", Nonlinear Anal. 75, no. 14, 5499–5522 (2012)
Year 2013
- J. Arrieta "The Neumann problem in thin domains with very highly oscillatory boundaries" (doi: 10.1016/j.jmaa.2013.02.061) Journal of Mathematical Analysis and Applications 404, #1 pp 86-104 (2013) (with M.C. Pereira).
- J. Arrieta "Rate of convergence of global attractors of some perturbed reaction-diffusion problems" Topological Methods in Nonlinear Analysis 41 (2), pp. 229-253 (2013) (with F.D.M. Bezerra and A.N. Carvalho)
- J. Arrieta. "Spectral stability results for higher order operators under perturbations of the domain" (doi:10.1016/j.crma.2013.10.001) C. R. Acad.Sci.Paris, Ser.I 351(2013)725–730 (with Pier D. Lamberti)
- F. Cortez, A. Rodríguez-Bernal,``PDEs in moving time dependent domains, In Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics. Springer Series: Understanding Complex Systems, 559-578 (2013).
- Chasseigne, Emmanuel; Sastre-Gómez, Silvia; A nonlocal two phase Stefan problem. Differential Integral Equations 26 (2013), no. 11-12, 1335–1360.
- Yasappan J., A. Jiménez Casas y Castro M. Título: Asymptotic Behavior of a Viscoelastic Fluid in a Closed Loop Thermosyphon: Physical Derivation, Asymptotic Analysis, and Numerical Experiments Abstract and Applied Analysis, vol 2013, p1-20
- J. Yasappan, A. Jiménez Casas, M. Castro “Chaotic behavior of the closed loop thermosyphon model with memory effects”, Chaotic Modeling and Simulation 2, pp 281-288 (2013)
Year 2014
- A. Rodriguez-Bernal and A. Vidal-López, “A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities”. Communications on Pure Applied Analysis 13, 635–644 (2014).
- A. Jiménez-Casas, A. Rodríguez-Bernal, “A model of traffic flow in a network”. Advances in Differential Equations and Applications, SEMA/SIMAI Springer Series, Vol. 4, pp. 193–200, (2014). ISBN 978-3-319-06952-4
- A. Rodríguez-Bernal, S. Sastre, “Nonlinear nonlocal reaction–diffusion equations”. Advances in Differential Equations and Applications, SEMA/SIMAI Springer Series, Vol. 4, pp. 53–61, (2014). ISBN 978-3-319-06952-4
- C. Quesada, A. Rodríguez-Bernal, “Perturbation of analytic semigroups in uniform spaces in RN”. Advances in Differential Equations and Applications, SEMA/SIMAI Springer Series, Vol. 4, pp. 41–49, (2014). ISBN 978-3-319-06952-4
- C. Quesada, A. Rodríguez-Bernal, “Smoothing and perturbation for some fourth order linear parabolic equations in RN”, Journal of Mathematical Analysis and Applications, Volume 412, Issue 2, pp. 1105-1134 (2014)
- J.M. Arrieta, E. Santamaría, "Estimates on the Distance of Inertial Manifolds". Discrete and Continuous Dynamical Systems A, 34 Vol 10 pp. 3921-3944 (2014)
- J.M. Arrieta, G. Barbatis, "Stability estimates in H10 for solutions of elliptic equations in varying domains” Mathematical Methods in Applied Science, 37, 2, pp.180-186 (2014)
- J.M. Arrieta, M. Villanueva-Pesqueira "Locally periodic thin domains with varying period" C.R. Acad. Sci. Paris Ser I. 352 pp 397-403 (2014)
- J.M. Arrieta, M. Villanueva-Pesqueira, “Fast and slow boundary oscillations in a thin domain”. Advances in Differential Equations and Applications SEMA SIMAI Springer Series, Vol. 4, 2014, pp 13-22 (2014) ISBN 978-3-319-06952-4
- J.M. Arrieta, M. Villanueva-Pesqueira; “Thin domains with doubly oscillatory boundary”, Mathematical Methods in Applied Science, 37, 2 (2014), 158-166.
- J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal, “Localization phenomena in a degenerate logistic equation” Electronic Journal of Differential Equations 21, pp 1-9 (2014)
- J.M. Arrieta, R. Pardo, A.Rodríguez–Bernal, “A degenerate parabolic logistic equation”, Advances in Differential Equations and Applications, SEMA/SIMAI Springer Series, Vol. 4, pp. 3–10, (2014). ISBN 978-3-319-06952-4.
- J.W. Cholewa, A. Rodriguez-Bernal, “A note on the Cahn-Hilliard equation in H1(RN) involving critical exponent”, Math. Bohem. 139, pp. 269-283 (2014)
- J.W. Cholewa, A. Rodriguez-Bernal, “Critical and supercritical higher order parabolic problems in RN”, Nonlinear Analysis 104, pp. 50-74 (2014)
- U. Brauer and L.Karp. “Local existence of solutions of self gravitating relativistic perfect fluids” Comm. Math. Physics, 325:105–141, (2014).
- Chasseigne, Emmanuel ; Ferreira, Raúl . Isothermalisation for a non-local heat equation. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 13 (2014), no. 4, 1115--1132.
Year 2015
- U. Brauer and L. Karp, Elliptic equations in weighted Besov spaces on asymptotically flat Riemannian manifolds, Manuscripta Math., 148(1-2), 59-97 (2015).
- J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal, "Asymptotic behavior of degenerate logistic equations”, Journal of Differential Equations, 259, #11, pp.6368-6398 (2015)
- A. Castro, R. Pardo, “A priori bounds for positive solutions of subcritical elliptic equations”, Rev Mat Complut 28, pp: 715-731 (2015)
- S. Sastre, “Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves”, Nonlinear Analysis, v. 125, p. 725-731, (2015).
- G, Griso, M. Villanueva-Pesqueira. “Straight rod with different order of thickness”, Asymptotic Analysis, 94, 3-4 (2015), 255-291. ISSN: 0921-7134
- J. Yasappan, A. Jiménez-Casas, M. Castro “Stailizing interplay between thermosiffusion and viscoelasticity in a closed-loop thermosyphon” Discrete and Continuous Dynamical Systems B, Vol 20, N. 9 pp. 3267-3299 (2015)
- Ferreira, Raúl ; Rossi, Julio D. Decay estimates for a nonlocal p-Laplacian evolution problem with mixed boundary conditions. Discrete Contin. Dyn. Syst. 35 (2015), no. 4, 1469--1478.
Year 2016
- Ferreira, Raúl ; Pérez-Llanos, Mayte . Limit problems for a Fractional p-Laplacian as p→∞. NoDEA Nonlinear Differential Equations Appl. 23 (2016), no. 2, 23:14.
- A. Rodríguez-Bernal, S. Sastre, “Linear nonlocal diffusion problems in metric measure spaces”. Proceedings of the Royal Society of Edinburg 146, 833-863 (2016). JCR Math, Q1, 61/312, Appl. Math, Q2, 95/254.
- A. Rodriguez-Bernal and A. Vidal-Lopez, “Well poshness and and asymptotic behavior of supercritical reaction-diffusion equations with nonlinear boundary conditions”. Dynamics of Partial Differential Equations 13, 273–295 (2016). JCR Appl. Math, Q3, 161/254.
- J. Cholewa, A. Rodríıguez-Bernal, “Linear higher order parabolic problems in locally uniform Lebesgue’s spaces”. Journal of Mathematical Analysis and Applications, JCR Math, Q1, 56/312, Appl. Math, Q1, 88/254.
- A. Rodríguez-Bernal, “The heat equaton with general periodic boundary conditions”,Potential Analysis, JCR Math, Q1, 67/312.
- A.Jiménez–Casas, A. Rodríguez–Bernal, “Some general models of traffic flow in anisolated network”. Mathematical Methods in the Applied Sciences (22 páginas). JCR Appl. Math, Q2, 90/254.
Year 2017
- Ferreira, Raúl; Pérez-Llanos, Mayte A nonlocal operator breaking the Keller-Osserman condition. Adv. Nonlinear Stud. 17 (2017), no. 4, 715–725.
- Mavinga, Nsoki; Pardo, Rosa Bifurcation from infinity for reaction-diffusion equations under nonlinear boundary conditions. Proc. Roy. Soc. Edinburgh Sect. A 147 (2017), no. 3, 649–671.
- Castro, Alfonso; Pardo, Rosa Infinitely many stability switches in a problem with sublinear oscillatory boundary conditions. J. Dynam. Differential Equations 29 (2017), no. 2, 485–499.
- Castro, Alfonso; Pardo, Rosa A priori estimates for positive solutions to subcritical elliptic problems in a class of non-convex regions. Discrete Contin. Dyn. Syst. Ser. B 22 (2017), no. 3, 783–790.
- Mavinga, N.; Pardo, R. A priori bounds and existence of positive solutions for semilinear elliptic systems. J. Math. Anal. Appl. 449 (2017), no. 2, 1172–1188
- Arrieta, José M.; Ferraresso, Francesco; Lamberti, Pier Domenico Spectral analysis of the biharmonic operator subject to Neumann boundary conditions on dumbbell domains. Integral Equations Operator Theory 89 (2017), no. 3, 377–408.
- Arrieta, José M.; Santamaría, Esperanza Distance of attractors of reaction-diffusion equations in thin domains. J. Differential Equations 263 (2017), no. 9, 5459–5506.
- Arrieta, José M.; Lamberti, Pier Domenico Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems. J. Differential Equations 263 (2017), no. 7, 4222–4266.
- Arrieta, José M.; Villanueva-Pesqueira, Manuel Thin domains with non-smooth periodic oscillatory boundaries. J. Math. Anal. Appl. 446 (2017), no. 1, 130–164.
- Cholewa, Jan W.; Quesada, Carlos; Rodríguez-Bernal, Aníbal Nonlinear evolution equations in scales of Banach spaces and applications to PDEs. J. Abstr. Differ. Equ. Appl. 8 (2017), no. 2, 1–69.
- Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal Some general models of traffic flow in an isolated network. Math. Methods Appl. Sci. 40 (2017), no. 11, 3982–4000.
- Rodríguez-Bernal, Aníbal The heat equation with general periodic boundary conditions. Potential Anal. 46 (2017), no. 2, 295–321.
- Quesada, Carlos; Rodríguez-Bernal, Aníbal Second order linear parabolic equations in uniform spaces in RN. Rev. Mat. Complut. 30 (2017), no. 1, 63–78.
- Cholewa, Jan W.; Rodriguez-Bernal, Anibal Linear higher order parabolic problems in locally uniform Lebesgue's spaces. J. Math. Anal. Appl. 449 (2017), no. 1, 1–45.
- Sastre-Gomez, Silvia Equivalent formulations for steady periodic water waves of fixed mean-depth with discontinuous vorticity. Discrete Contin. Dyn. Syst. 37 (2017), no. 5, 2669–2680.
- Jiménez-Casas, Ángela Asymptotic Behaviour of the Nonlinear Dynamical System Governing a Thermosyphon Model. Chaotic Modeling and Simulation (CMSIM).
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