December 26, 2024, Thursday, 360

Publications

De Cadedif

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== Publicaciones en revistas internacionales  == 
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__TOC__
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=== Año 2002  ===
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# J. M. Arrieta, N. Consul, A. Rodríguez-Bernal “Pattern Formation
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from boundary reaction”''' '''''Fields Inst. Commun.'', 31, pp. 13-18,
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Amer. Math. Soc., Providence, RI, (2002).''' '''<br/>
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# X. Biao Lin, I. Bosch “Heteroclinic and periodic cycles in a
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perturbed convection model”'' Journal of Differential Equations'' 182
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pp. 219-265 (2002)<br/>
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# R. Ferreira, P. Groisman y J. D. Rossi, “Numerical Blow-up for a
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nonlinear problem with a nonlinear boundary condition”'' Math. Models
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and Methods in Applied Sciences'', 12, 461--483, 2002<br/>
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# R. Ferreira, V. A. Galaktionov y J. L. Vázquez, “Uniqueness of
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Asymptotic Profiles for and extinction Problem”'' Nonlinear Analysis
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T. M. A.'', 50, 495--507, 2002<br/>
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# R. Ferreira, F. Quiros y J. D. Rossi “The balance between nonlinear
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inwards and outwards boundary-flux for nonlinear heat equations”
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''Journal of Differential Equation'', 184, 259--282, 2002<br/>
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# A. Jiménez-Casas and A. Rodríguez-Bernal. Asymptotic behaviour for a
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phase field model in higher order Sobolev spaces. ''Rev. Mat.
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Complut.'', 15(1):213-248, 2002.<br/>
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# A. Rodríguez-Bernal. Some qualitative dynamics of nonlinear boundary
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conditions. ''Internat. J. Bifur. Chaos Appl. Sci. Engrg.'',
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12(11):2333-2342. Spatio-temporal comp lexity. (2002)<br/>
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# A. Rodríguez-Bernal. Attractors for parabolic equations with
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nonlinear boundary conditions, critical exponents, and singular
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initial data. ''J. Differential Equations,'' 181(1):165-196,
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2002.<br/>
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# R. Dager, E. Zuazua “Spectral boundary controllability of networks
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of strings”, C.R. Acad. Sci. Paris, Serie I, 334 (7), 545-550,
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(2002)<br/>
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=== Año 2003  ===
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# J. Fernández Bonder, R. Ferreira y J. D. Rossi, “Uniform bounds for
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the best Sobolev trace constant” ''Advanced Nonlinear Studies'', 3,
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181--192, 2003<br/>
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# R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “The blow-up
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profile for a fast diffusion equation with a nonlinear boundary
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condition” ''Rocky Mountain J. Math,'' 33, 123--146, 2003<br/>
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# R. Ferreira y J. L. Vázquez “Study of self-similarity for the fast
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difusión equation” ''Advances in Differential Equations'', 8,
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1125--1152, 2003<br/>
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# R. Ferreira, P. Groisman y J. D. Rossi , “An adaptive numerical
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scheme for a parabolic problem with blow-up”'' IMA Journal of
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Numerical Análisis'', 23, 439--463, 2003<br/>
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# M. Negreanu, E. Zuazua, “Uniform boundary controllabillity of a
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discrete 1-D wave equation” , ''System and Control Letters'', 48,
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Issues 3-4 pp 261-279 (2003)<br/>
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# M. Negreanu, E. Zuazua, “A 2-d grid algorithm for the 1-d wave
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equation” Proceedings of the Sixth International Conference on
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Mathematical and Numerical Aspects of Wave Propagation, Waves 2003,
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Physcis and Astronomy, pp. 213-217, Springer (2003)<br/>
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# R. Rodríguez del Río, E. Zuazua, “Series de Fourier y fenómeno de
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Gibbs”, Cubo Matemática Eduacional, 5 pp. 185-224 (2003)<br/>
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=== Año 2004 ===
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== Publications in peer reviewed journals ==   
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# J.M. Arrieta "El Cálculo y la Modelización Matemática", en R.
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=== Publications before 2017===  
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Rodríguez, E. Zuazua, ''De la Aritmética al Análisis: Historia y
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[[Publications before 2017]] [[Seminarios]]
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Desarrollo reciente en Matemáticas,'' Aulas de Verano, Instituto
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Superior de Formación del Profesorado, Ministerio de Educación y
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Ciencia,pp 11-57 (2004)<br/>
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# J. M. Arrieta, A.N. Carvalho "Spectral Convergence and Nonlinear
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Dynamics for Reaction-Diffusion Equations under Perturbations of the
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Domain" ''Journal of Diff. Equations ''199, pp. 143-178 (2004)<br/>
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# J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal,
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"Asymptotic Behavior and Attractors for Reaction Diffusion Equations
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in Unbounded Domains" ''Nonlinear Analysis, ''56, pp. 515-554 (2004)
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<br/>
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# J. M. Arrieta, N. Consul, A. Rodríguez-Bernal, "Stable boundary
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layers in a diffusion problem with nonlinear reaction at the boundary"
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''Z.. Angew. Math. Phys. ''55, pp. 1-14 (2004) <br/>
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# J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal,
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"Linear parabolic equations in locally uniform spaces" ''Mathematical
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Models and Methods in Applied Sciences'', 14, n. 2, 253-294
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(2004)<br/>
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# J. M. Arrieta, A. Rodríguez-Bernal and P. Souplet, "Boundedness of
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Global Solutions for Nonlinear Parabolic Equations involving Gradient
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Blow-up Phenomena" ''Annali della Scuola Normale Superiore di Pisa,
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Classe di Scienze. ''Issue 1, Volume 3/2004, Series 5, pp 1-15, (2004)
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<br/>
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# J. M. Arrieta, A. Rodríguez-Bernal "Localization on the boundary of
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blow-up for reaction-diffusion equations with nonlinear boundary
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conditions" ''Communications in Partial Differential Equations'' 29,
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7&8, pp. 1127-1148 (2004) <br/>
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# J.M. Arrieta, A. Rodríguez-Bernal "Non well posedness of parabolic
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equations with supercritical nonlinearities" ''Communications in
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Contemporary Mathematics'' 6, n 5, pp. 733-764 (2004)<br/>
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# E. Chasseigne y R.Ferreira, “Monotone approximations of Green
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functions” ''Comptes Rendus Mathématique.'' Académie des Sciences.
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Paris, 339, 395--400, 2004<br/>
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# R. Ferreira, P. Groisman y J. D. Rossi., “Numerical blow-up for the
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porous medium equation with a source”'' Numerical Methods for Partial
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Differential Eq,'' 20, 552--575, 2004<br/>
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# R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Superfast
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quenching”'' Journal Differential Equations'', 199, 189--209,
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2004<br/>
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# M. Negreanu, E. Zuazua “Discrete Ingham inequalities and
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applications”, ''CRAS Paris'', Serie I. Math 338 pp 281-286
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(2004)<br/>
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# L. Popescu and A. Rodríguez-Bernal. On a singularly perturbed wave
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equation with dynamic boundary conditions. ''Proc. Roy. Soc. Edinburgh
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''Sect. A, 134(2):389-413, 2004.<br/>
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# R. Dager, “Networks of strings: modelization and control of
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vibrations”, e-STA, vol 1, (2004)<br/>
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# R. Dager, “Observation and control of vibrations in tree-shaped
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networks of strings” SIAM Journal on Control and Optimization 43,
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590-623, (2004)<br/>  
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=== Año 2005  ===
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# J.M. Arrieta, A. Rodríguez-Bernal. "Ill posed problems with
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supercritical nonlinearities''. International Conference on
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Differential Equations (EQUADIFF'03) Hasselt, Belgium. World
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Scientific, pp 277 280, (2005) , <br/>
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# J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal "Nonhomogenous
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flux condition as limit of localized reactions''. International
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Conference on Differential Equations (EQUADIFF'03) Hasselt, Belgium.
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World Scientific, pp 293-295, (2005), <br/>
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# J.M. Arrieta, S. M. Bruschi "Problemas de valor de fronteira em
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domínios com oscilaçōes na fronteira", ''Seminario Brasileiro de
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Análise,'' Edición nº 62, Noviembre (2005), <br/>
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# R. Ferreira, A. de Pablo, F. Quiros y J. L. Vázquez, “Blow-up. El
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problema matemático de explosión para ecuaciones y sistemas de
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reacción difusión” ''Boletín de la Soc. Española de Matemática
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Aplicada'', 32, 75-111, 2005<br/>
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# P. Quittner and A. Rodríguez-Bernal. Complete and energy blow-up in
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parabolic problems with nonlinear boundary conditions. ''Nonlinear
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Anal. TMA'', 62(5):863-875, (2005).<br/>
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# A. Rodríguez-Bernal and A. Vidal-López. Extremal equilibria and
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asymptotic behavior of parabolic nonlinear reaction-diffusion
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equations. In ''Nonlinear elliptic and parabolic problems: A Special
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Tribute to the Work of H. Amann.'', volume 64 of Progr. Nonlinear
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Differential Equations Appl., pages 509-516. Birkhäuser, Basel,
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(2005).<br/>
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# A. Rodríguez-Bernal. Parabolic equations in locally uniform spaces.
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In ''Nonlinear elliptic and parabolic problems,'' volume 64 of Progr.
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Nonlinear Differential Equations Appl., pages 421-432. Birkhäuser,
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Basel, (2005).<br/>
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# A. Rodríguez-Bernal and R. Willie. Singular large diffusivity and
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spatial homogenization in a non homogeneous linear parabolic problem.
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''Discrete Contin. Dyn. Syst.'' Ser. B, 5(2):385-410, (2005).<br/>
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# R. Ferreira, A. de Pablo y M. Pérez-Llanos, “Numerical blow-up for
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the p-laplacian equation with a source”, ''Computational Methods in
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Applied Mathematics ''5, 137-154, (2005)<br/>
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# R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “On the quenching
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set for a fast diffusion equation.Regional quenching”'', Proceedings
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of the Royal Society of Edinburgh. Section A, ''135, 585—601,
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(2005)<br/>
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# A. Jiménez-Casas, “Metastable solutions for the thin-interface limit
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of a phase-field model” ''Nonlinear Analysis'', ''Volume ''63, Issues
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5-7,  963-970, (2005)<br/>
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# A. Jiménez-Casas, “Well posedness and asymptotic behavior of a
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closed loop thermosyphon”, World Scientific Publications pp: 59-74,
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(2005)<br/> 
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=== Año 2006  ===
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# R. Dager, E. Zuazua, “Wave propagation, observation and control of
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1-D flexible multi-structures”, Mathematiques et Applications 50,
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Springer-Berlag Berlin (2006), <nowiki>x+221 pp. ISBN:
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978-3-540-27239-9; 3-540-27239-9 [LIBRO DE INVESTIGACIÓN]</nowiki>
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# I. Bosch, A. M. Minzoni, “Chaotic behavior in a singularly perturbed
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system” ''Nonlinearity'' 19, 1535-1551 (2006)<br/>
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# M. Negreanu, E. Zuazua “Discrete Ingham inequalities and
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applications”, ''SIAM Journal of Numerical Analysis,'' Volume 44,
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Issue I (2006) pp 412-4448<br/>
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# A. Rodríguez-Bernal and A. Vidal, “Asymptotic behavior of positive
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solutions of nonautonomous reaction-diffusion equations”, ''Bol. Soc.
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Esp. Mat. Apl.'' 34, 99-104 (2006) <br/>
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# J. C. Robinson, A. Vidal–López, “Minimal periods of semilinear
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evolution equations with Lipschitz nonlinearity”. ''Jounal of
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Differential Equations'', Vol. 220 (2), 396–406 (2006).<br/>
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# J.M. Arrieta, S. M. Bruschi "Boundary Oscillations and Nonlinear
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Boundary Conditions",  ''Comptes Rendus Mathematique, ''t. 343, Series
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I, pp. 99-104 (2006)<br/>
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# J.M. Arrieta, A. Rodríguez-Bernal, J. Valero "Dynamics of a
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reaction-diffusion equation with a discontinuous nonlinearity",
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''International Journal of Bifurcation and Chaos'' 16,  n. 10,  pp.
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2965-2984  (2006)<br/>
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# J.M. Arrieta A.N. Carvalho and G. Lozada-Cruz "Dynamics in dumbbell
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domains I. Continuity of the set of equilibria" ''Journal of
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Differential Equations ''231, Issue 2, pp. 551-597, (2006),<br/>
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# R. Ferreira, A. de Pablo y J. L. Vázquez, “Classification of blow-up
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with nonlinear diffusion and localized reaction”, ''Journal
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Differential Equations ''231, 195—211, (2006)<br/>
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# R. Ferreira, A. de Pablo, G. Reyes y A. Sánchez, “The interfaces of
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an inhomogeneous porous médium equation with convection”''
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Communications in Partial Differential Equation''s , 31, 497—514,
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(2006)<br/>
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# R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up for a degenerate
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diffusion problem not in divergence form”, ''Indiana University
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Mathematics Journal '', 55, 955—974, (2006)<br/>
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# R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Non-simultaneous
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quenching in a system of heat equations coupled at the boundary”''
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Zeitschrift fur Angewandte Mathematik und Physik '', 57, 586—594,
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(2006).<br/>
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# R. Pardo, V. M. Pérez-García, “Dissipative solutions that cannot be
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trapped”, ''Phys. Rev. Lett.'' 97, (2006). <br/>
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# R. Dager, A. Presa, “Duality of the space of germs of harmonic
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vector fields on a compact”, C.R. Acad. Sci. Paris, Serie I, 343 (1),
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19-22, (2006)<br/>
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# R. Dager, “Insensitizing controls for the 1-D wave equation”, SIAM
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Journal on Control and Optimization 45, 1758-1768, (2006)<br/>
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=== Año 2007 ===
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===  Year 2017===
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# J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal "Bifurcation and
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# Ferreira, Raúl; Pérez-Llanos, Mayte A nonlocal operator breaking the Keller-Osserman condition. Adv. Nonlinear Stud. 17 (2017), no. 4, 715–725.
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stability of equilibria with asymptotically linear boundary conditions
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# 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.
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at infinity", ''Proc. of the Royal Society of Edinburgh A,'' Vol.137,
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# 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.
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Issue 02,  225-252. (2007),<br/>
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# 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.
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# A. Rodríguez-Bernal, R. Willie, “Nesting inertial manifolds of
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# 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
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reaction-diffusion equations and large diffusivity. ''Nonlinear
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# 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.
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Analisis'' 67, 70-93 (2007)<br/>
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# Arrieta, José M.; Santamaría, Esperanza Distance of attractors of reaction-diffusion equations in thin domains. J. Differential Equations 263 (2017), no. 9, 5459–5506.
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# A. Rodríguez-Bernal, A. Vidal, “Existence, uniqueness and
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# 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.
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attractivity properties of positive complete trajectories for
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# Arrieta, José M.; Villanueva-Pesqueira, Manuel Thin domains with non-smooth periodic oscillatory boundaries. J. Math. Anal. Appl. 446 (2017), no. 1, 130–164.
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non-autonomous reaction-diffusion problems”, ''Disc. Cont. Dyn.
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# 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.
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Systems ''18, 537--567, (2007)<br/>
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# 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.
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# J.A. Langa, J.C. Robinson, A.Rodríguez-Bernal, A. Suárez, A. Vidal,
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# Rodríguez-Bernal, Aníbal The heat equation with general periodic boundary conditions. Potential Anal. 46 (2017), no. 2, 295–321.
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“Existence and non-existence of unbounded forward attractor for a
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# Quesada, Carlos; Rodríguez-Bernal, Aníbal Second order linear parabolic equations in uniform spaces in RN. Rev. Mat. Complut. 30 (2017), no. 1, 63–78.
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class of nonautonomous reaction diffusion equations”. ''Disc. Cont.
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# 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.
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Dyn. Systems ''18, 483—497, (2007)<br/>
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# 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.
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# J.M. Arrieta, S.M. Bruschi “Rapidly varying boundaries in equations
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# Jiménez-Casas, Ángela Asymptotic Behaviour of the Nonlinear Dynamical System Governing a Thermosyphon Model. Chaotic Modeling and Simulation (CMSIM).
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with nonlinear boundary conditions. The case of a Lipschitz
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deformation”, ''Mathematical Models and Methods in Applied Sciences''
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17, nº 10 (2007)<br/>
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# R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up with logarithmic
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nonlinearities”, ''Journal Differential Equations ''240, Issue 1,
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Pages 196-215 (2007)<br/>
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# J.C. Robinson, A. Rodríguez-Bernal, A. Vidal-López, “Pullback
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attractors and extremal complete trajectories for non-autonomous
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reaction-diffusion problems”, Journal of Differential Equations 238,
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289-337 (2007)<br/>
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# U. Brauer, L. Karp, “Local existence of classical solutions of the
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Einstein-Euler system using weighted Sobolev spaces of fractional
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order”, Comptes Rendus Mathematique 345, pp 49-54 (2007)<br/>
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# J. A. Langa, J. C. Robinson, A. Suárez, A. Vidal-López, “The
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stability of attractors for non-autonomous perturbation of
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gradient-like systems”, ''Journal of Differential Equations'' 234,
+
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605-627 (2007). <br/>
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# J. M. Arrieta and A. Rodríguez-Bernal, “Blow up versus global
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boundedness of solutions of reaction diffusion equations with
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nonlinear boundary conditions”, Proceedings of Equadiff 11, Editors:
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M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic
+
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(2007). pp 1-7 <br/>
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# J. M. Arrieta, A. Jimenéz-Casas and A. Rodríguez-Bernal, “Robin type
+
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conditions arising from concentrated potentials”, Proceedings of
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Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved,
+
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P.Quittner and D.Sevcovic (2007). pp 157-164 <br/>
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# A. de Pablo, M. Pérez-Llanos and R. Ferreira''', “'''Numerical
+
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blow-up for the ''p''-Laplacian equation with a nonlinear source”
+
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Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula,
+
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M.Medved, P.Quittner and D.Sevcovic (2007). pp 363-367<br/>
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# J. M. Arrieta, N. Moya, A. Rodríguez-Bernal''', “'''Dissipative
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dynamics of reaction diffusion equations in ''R^N” ''Proceedings of
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Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved,
+
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P.Quittner and D.Sevcovic (2007), pp 405-414.<br/>
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# A. Rodríguez-Bernal and A. Vidal-López''', “'''Extremal equilibria
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for parabolic non-linear reaction-diffusion equations”, Proceedings of
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Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved,
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P.Quittner and D.Sevcovic (2007). pp 531-539 <br/>
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# J.M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal,
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"Dissipative parabolic equations in locally uniform spaces",
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''Mathematische Nachrichten ''280, Issue 15 (2007)<br/> 
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#Bogoya, Mauricio; Ferreira, Raul; Rossi, Julio D. Neumann boundary
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conditions for a nonlocal nonlinear diffusion operator. Continuous and
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discrete models. Proc. Amer. Math. Soc. 135 (2007), no. 12, 3837--3846
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=== Año 2008 ===
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=== Year 2018  ===
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# Ferreira, R.; de Pablo, A. Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions. Rev. Mat. Complut. 31 (2018), no. 3, 805–832.
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# Ferreira, Raul Blow-up for a semilinear heat equation with moving nonlinear reaction. Electron. J. Differential Equations 2018, Paper No. 32, 11 pp.
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# Damascelli, Lucio; Pardo, Rosa A priori estimates for some elliptic equations involving the p-Laplacian. Nonlinear Anal. Real World Appl. 41 (2018), 475–496
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# Arrieta, José M.; Santamaría, Esperanza C1,θ-estimates on the distance of inertial manifolds. Collect. Math. 69 (2018), no. 3, 315–336. 35K90 (35B42)
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# Arrieta, José M.; Ferraresso, Francesco; Lamberti, Pier Domenico Boundary homogenization for a triharmonic intermediate problem. Math. Methods Appl. Sci. 41 (2018), no. 3, 979–985.
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# Robinson, James C.; Rodríguez-Bernal, Aníbal Optimal existence classes and nonlinear-like dynamics in the linear heat equation in Rd. Adv. Math. 334 (2018), 488–543.
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# Jiménez-Casas, Ángela Metastable solutions for the thin-interface limit of a p-Laplacian phase field model. Math. Methods Appl. Sci. 41 (2018), no. 16, 6851–6865
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# Jiménez-Casas, Ángela Asymptotic Behaviour of a Viscoelastic Thermosyphon Model.Chaotic Modeling and Simulation (CMSIM).
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# Rodríguez Gomez, Alberto; Jiménez-Casas, Ángela Analysis of the ECG Signal Recognizing the QRS Complex and P and T Waves, Using Wavelet Transform. American Journal of Engineering Research(AJER)
 +
# Henry, David; Sastre-Gomez, Silvia Steady periodic water waves bifurcating for fixed-depth rotational flows with discontinuous vorticity. Differential Integral Equations 31 (2018), no. 1-2, 1–26
 +
# Brauer, Uwe; Karp, Lavi Local existence of solutions to the Euler-Poisson system, including densities without compact support. J. Differential Equations 264 (2018), no. 2, 755–785.
-
#J.M. Arrieta:" On boundedness of solutions of reaction-diffusion
+
=== Year 2019 ===
-
equations with nonlinear boundary conditions" Proceedings of the
+
# Arrieta, José M.; Nogueira, Ariadne; Pereira, Marcone C.; "Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries. Comput. Math. Appl. 77 (2019), no. 2, 536–554
-
American Mathematical Society 136, Issue 1, pp. 151-160 (2008)
+
# Arrieta, José M.; Nogueira, Ariadne; Pereira, Marcone C.; "Nonlinear elliptic equations with concentrating reaction terms at an oscillatory boundary", Discrete and Continuous Dynamical Systems 24 (8) pp: 4217-4246,  (2019)
-
#J.M. Arrieta, N. Moya, A. Rodríguez-Bernal: "On the finite dimension
+
# Bezerra, F. D. M., and Sastre-Gomez S., and da Silvia, S. H. Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition. Applicable Analysis, v. 10, p. 1-16, 2019.
-
of attractors of parabolic problems in <math>R^N </math> with general
+
# Ferreira, Raúl Blow-up for a semilinear non-local diffusion system. Nonlinear Anal. 189, 12 pp.
-
potentials", Nonlinear Analysis, Theory Methods and Applications 68,
+
# Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro. 'Interaction of localized large diffusion and boundary conditions', Journal of Differential Equations, Volume 267, Issue 5, p. 2687-2736 (2019).
-
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) <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/>
+
-
=== Año 2009  ===
+
=== Year 2020 ===
-
# J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal, "Equilibria and global
+
# Robinson, J. C., & Rodríguez-Bernal, A., ''The heat flow in an optimal Fréchet space of unbounded initial data in \(\Bbb R^d\)'', J. Differential Equations, '''269(11)''', 10277–10321 (2020).  http://dx.doi.org/10.1016/j.jde.2020.07.017
-
dynamics of a problem with bifurcation from infinity",  Journal of
+
# Pardo, R., & Sanjuán, A., ''Asymptotic behavior of positive radial solutions to elliptic equations approaching critical growth'', Electron. J. Differential Equations, '''()''', 114–17 (2020).
-
Differential Equations  246, pp. 2055-2080  (2009).<br/>
+
# López-García, D., & Pardo, R., ''A mathematical model for the use of energy resources: a singular parabolic equation'', Math. Model. Anal., '''25(1)''', 88–109 (2020). http://dx.doi.org/10.3846/mma.2020.9792
-
#R. Pardo, Víctor M. Pérez-García, ``Localization phenomena in
+
# Jiménez-Casas, Á., & Rodríguez-Bernal, A., ''PDE problems with concentrating terms near the boundary'', Commun. Pure Appl. Anal., '''19(4)''', 2147–2195 (2020). http://dx.doi.org/10.3934/cpaa.2020095
-
Nonlinear Schrödinger equations with spatially inhomogeneous
+
# Ferreira, R., & de Pablo, A., ''Grow-up for a quasilinear heat equation with a localized reaction'', J. Differential Equations, '''268(10)''', 6211–6229 (2020).  http://dx.doi.org/10.1016/j.jde.2019.11.033
-
nonlinearities: Theory and applications to Bose-Einstein condensates.
+
# Castro, A., Cossio, J., Herrón, S., Pardo, R., & Vélez, C., ''Infinitely many radial solutions for a sub-super critical $p$-Laplacian problem'', Ann. Mat. Pura Appl. (4), '''199(2)''', 737–766 (2020).  http://dx.doi.org/10.1007/s10231-019-00898-x
-
Physica D: Nonlinear Phenomena, Vol. 238, (2009) 1352–136.
+
# Brauer, U., & Karp, L., ''Continuity of the flow map for symmetric hyperbolic systems and its application to the Euler-Poisson system'', J. Anal. Math., '''141(1)''', 113–163 (2020).  http://dx.doi.org/10.1007/s11854-020-0125-4
 +
# Arrieta, J. M., & Villanueva-Pesqueira, M., ''Elliptic and parabolic problems in thin domains with doubly weak oscillatory boundary'', Commun. Pure Appl. Anal., '''19(4)''', 1891–1914 (2020).  http://dx.doi.org/10.3934/cpaa.2020083
-
== Publicaciones aceptadas  ==
+
=== Year 2021 ===
-
# A.Jiménez Casas, M. Castro Ponce, “Slow motion for a phase field
+
# Pereira, M. C., & Sastre-Gomez, S., ''Nonlocal and nonlinear evolution equations in perforated domains'', J. Math. Anal. Appl., '''495(2)''', 124729–21 (2021). http://dx.doi.org/10.1016/j.jmaa.2020.124729
-
model” ''Mathematical Methods in the Applied Science. ''<br/>
+
# Mavinga, N., & Pardo, R., ''Equivalence between uniform \(L^p^*\) a priori bounds and uniform \(L^\infty\) a priori bounds for subcritical $p$-Laplacian equations'', Mediterr. J. Math., '''18(1)''', 13–24 (2021). http://dx.doi.org/10.1007/s00009-020-01673-6
-
#J.A. Langa, J.C. Robinson, A. Rodríguez-Bernal, A. Suárez,
+
# Ferreira, R., & de Pablo, A., ''Blow-up rates for a fractional heat equation'', Proc. Amer. Math. Soc., '''149(5)''', 2011–2018 (2021).  http://dx.doi.org/10.1090/proc/15165
-
"Permanence and asymptotically stable complete trajectories for
+
# Clapp, M., Pardo, R., Pistoia, A., & Saldaña, A., ''A solution to a slightly subcritical elliptic problem with non-power nonlinearity'', J. Differential Equations, '''275()''', 418–446 (2021).  http://dx.doi.org/10.1016/j.jde.2020.11.030
-
non-autonomous Lotka-Volterra models with diffusion". SIAM J.
+
# Cardone, G., Perugia, C., & Villanueva Pesqueira, M., ''Asymptotic behavior of a Bingham flow in thin domains with rough boundary'', Integral Equations Operator Theory, '''93(3)''', 24–26 (2021). http://dx.doi.org/10.1007/s00020-021-02643-7
-
Math.Anal.
+
# Brauer, U., & Karp, L., ''The non-isentropic relativistic Euler system written in a symmetric hyperbolic form'', In  (Eds.), Anomalies in partial differential equations (pp. 63–76) (2021). : Springer, Cham.
-
#Ferreira, R. "Numerical quenching for the semilinear heat equation
+
# Bezerra, F. D. M., Sastre-Gomez, S., & da Silva, S. H., ''Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition'', Appl. Anal., '''100(9)''', 1889–1904 (2021).  http://dx.doi.org/10.1080/00036811.2019.1671973
-
with a singular absorption". Journal of Computational Applied
+
# Arrieta J.M., J.C. Nakasato, M.C. Pereira, "The p-Laplacian equation in thin domains: The unfolding approach", Journal of Differential Equations 274  (2021) pp: 1-34
-
Mathematics
+
# Chhetri, N., Mavinga, M., & Pardo, R., ''Bifurcation from infinity with oscillatory nonlinearity for Neumann problem'', Electron. J. Differential Equations, '''Specialissue(1)''', 279–292 (2021).
-
# 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  ==
+
=== Year 2022 ===
-
# R. Dager, E. Zuazua, "Wave propagation, observation and control of
+
# Rodríguez-Bernal, A., & Sastre-Gómez, S., ''Nonlinear nonlocal reaction-diffusion problem with local reaction'', Discrete Contin. Dyn. Syst., '''42(4)''', 1731–1765 (2022).  http://dx.doi.org/10.3934/dcds.2021170
-
1-D flexible multi-structures", Mathematiques et Applications 50,
+
# Rodríguez-Bernal, A., ''Principal eigenvalue, maximum principles and linear stability for nonlocal diffusion equations in metric measure spaces'', Nonlinear Anal., '''221()''', 112887–34 (2022).  http://dx.doi.org/10.1016/j.na.2022.112887
-
Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9;
+
# Ferreira, R., & de Pablo, A., ''A nonlinear diffusion equation with reaction localized in the half-line'', Math. Eng., '''4(3)''', 024–24 (2022).  http://dx.doi.org/10.3934/mine.2022024
-
3-540-27239-9
+
# Cholewa, J. W., & Rodriguez-Bernal, A., ''Sharp estimates for homogeneous semigroups in homogeneous spaces. Applications to PDEs and fractional diffusion in \(\Bbb R^N\)'', Commun. Contemp. Math., '''24(1)''', 2050070–56 (2022).  http://dx.doi.org/10.1142/S0219199720500704
 +
# Cholewa, J. W., & Rodriguez-Bernal, A., ''On some PDEs involving homogeneous operators. Spectral analysis, semigroups and Hardy inequalities'', J. Differential Equations, '''315()''', 1–56 (2022). http://dx.doi.org/10.1016/j.jde.2022.01.029
 +
# Bandyopadhyay, S., Chhetri, M., Delgado, B. B., Mavinga, N., & Pardo, R., ''Maximal and minimal weak solutions for elliptic problems with nonlinearity on the boundary'', Electron. Res. Arch., '''30(6)''', 2121–2137 (2022).  http://dx.doi.org/10.3934/era.2022107
-
== Libros docentes ==
+
== Accepted for publication  ==
-
# S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”,
+
# Brauer, U., & Karp, L., ''Global existence of a nonlinear wave equation arising from Nordström's theory of gravitation'' accepted for publication in Journal of Evolution equations, (preprint in the arXiv) https://arxiv.org/abs/1912.03643 (2019).
-
Editorial Síntesis. 2007<br/>  
+
 
-
# R. Rodríguez, E. Zuazua, “De la aritmética al análisis. Historia y
+
== Submitted for publication ==
-
desarrollo reciente en matemáticas” Ministerio de Educación y Ciencia.
+
# J.M. Arrieta, A.N. Carvalho, E. Moreira, J. Valero, "Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem", Submitted
-
(ISBN: 84-369-3845-3).<br/>
+
 
 +
<!-- == 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 -->
 +
 
 +
== Books  ==
 +
# S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”, 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/>
 +
# R. Ferreira y S. Rodríguez, Ecuaciones Diferenciales y Cálculo Vectorial, editorial Garceta
 +
# Rodríguez del Río. Una nueva visión de la geometría, Felix Klein. Colección Genios de las Matemáticas, RBA, Barcelona, 2017. (ISBN:978-84-473-9067-0). Translated into French (ISBN: 978-84-473-9611-5) and into Italian (ISSN: 2531-890X)
 +
#Arrieta Algarra J.M., Ferreira de Pablo R, Pardo San Gil R, Rodríguez Bernal A, "Análisis Numérico de Ecuaciones Diferenciales".  Paraninfo (2020) (ISBN: 9788428344418)

Última versión de 12:25 20 jun 2022

Contenido


Publications in peer reviewed journals

Publications before 2017

Publications before 2017 Seminarios

Year 2017

  1. Ferreira, Raúl; Pérez-Llanos, Mayte A nonlocal operator breaking the Keller-Osserman condition. Adv. Nonlinear Stud. 17 (2017), no. 4, 715–725.
  2. 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.
  3. 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.
  4. 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.
  5. 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
  6. 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.
  7. Arrieta, José M.; Santamaría, Esperanza Distance of attractors of reaction-diffusion equations in thin domains. J. Differential Equations 263 (2017), no. 9, 5459–5506.
  8. 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.
  9. Arrieta, José M.; Villanueva-Pesqueira, Manuel Thin domains with non-smooth periodic oscillatory boundaries. J. Math. Anal. Appl. 446 (2017), no. 1, 130–164.
  10. 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.
  11. 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.
  12. Rodríguez-Bernal, Aníbal The heat equation with general periodic boundary conditions. Potential Anal. 46 (2017), no. 2, 295–321.
  13. Quesada, Carlos; Rodríguez-Bernal, Aníbal Second order linear parabolic equations in uniform spaces in RN. Rev. Mat. Complut. 30 (2017), no. 1, 63–78.
  14. 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.
  15. 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.
  16. Jiménez-Casas, Ángela Asymptotic Behaviour of the Nonlinear Dynamical System Governing a Thermosyphon Model. Chaotic Modeling and Simulation (CMSIM).

Year 2018

  1. Ferreira, R.; de Pablo, A. Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions. Rev. Mat. Complut. 31 (2018), no. 3, 805–832.
  2. Ferreira, Raul Blow-up for a semilinear heat equation with moving nonlinear reaction. Electron. J. Differential Equations 2018, Paper No. 32, 11 pp.
  3. Damascelli, Lucio; Pardo, Rosa A priori estimates for some elliptic equations involving the p-Laplacian. Nonlinear Anal. Real World Appl. 41 (2018), 475–496
  4. Arrieta, José M.; Santamaría, Esperanza C1,θ-estimates on the distance of inertial manifolds. Collect. Math. 69 (2018), no. 3, 315–336. 35K90 (35B42)
  5. Arrieta, José M.; Ferraresso, Francesco; Lamberti, Pier Domenico Boundary homogenization for a triharmonic intermediate problem. Math. Methods Appl. Sci. 41 (2018), no. 3, 979–985.
  6. Robinson, James C.; Rodríguez-Bernal, Aníbal Optimal existence classes and nonlinear-like dynamics in the linear heat equation in Rd. Adv. Math. 334 (2018), 488–543.
  7. Jiménez-Casas, Ángela Metastable solutions for the thin-interface limit of a p-Laplacian phase field model. Math. Methods Appl. Sci. 41 (2018), no. 16, 6851–6865
  8. Jiménez-Casas, Ángela Asymptotic Behaviour of a Viscoelastic Thermosyphon Model.Chaotic Modeling and Simulation (CMSIM).
  9. Rodríguez Gomez, Alberto; Jiménez-Casas, Ángela Analysis of the ECG Signal Recognizing the QRS Complex and P and T Waves, Using Wavelet Transform. American Journal of Engineering Research(AJER)
  10. Henry, David; Sastre-Gomez, Silvia Steady periodic water waves bifurcating for fixed-depth rotational flows with discontinuous vorticity. Differential Integral Equations 31 (2018), no. 1-2, 1–26
  11. Brauer, Uwe; Karp, Lavi Local existence of solutions to the Euler-Poisson system, including densities without compact support. J. Differential Equations 264 (2018), no. 2, 755–785.

Year 2019

  1. Arrieta, José M.; Nogueira, Ariadne; Pereira, Marcone C.; "Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries. Comput. Math. Appl. 77 (2019), no. 2, 536–554
  2. Arrieta, José M.; Nogueira, Ariadne; Pereira, Marcone C.; "Nonlinear elliptic equations with concentrating reaction terms at an oscillatory boundary", Discrete and Continuous Dynamical Systems 24 (8) pp: 4217-4246, (2019)
  3. Bezerra, F. D. M., and Sastre-Gomez S., and da Silvia, S. H. Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition. Applicable Analysis, v. 10, p. 1-16, 2019.
  4. Ferreira, Raúl Blow-up for a semilinear non-local diffusion system. Nonlinear Anal. 189, 12 pp.
  5. Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro. 'Interaction of localized large diffusion and boundary conditions', Journal of Differential Equations, Volume 267, Issue 5, p. 2687-2736 (2019).

Year 2020

  1. Robinson, J. C., & Rodríguez-Bernal, A., The heat flow in an optimal Fréchet space of unbounded initial data in \(\Bbb R^d\), J. Differential Equations, 269(11), 10277–10321 (2020). http://dx.doi.org/10.1016/j.jde.2020.07.017
  2. Pardo, R., & Sanjuán, A., Asymptotic behavior of positive radial solutions to elliptic equations approaching critical growth, Electron. J. Differential Equations, (), 114–17 (2020).
  3. López-García, D., & Pardo, R., A mathematical model for the use of energy resources: a singular parabolic equation, Math. Model. Anal., 25(1), 88–109 (2020). http://dx.doi.org/10.3846/mma.2020.9792
  4. Jiménez-Casas, Á., & Rodríguez-Bernal, A., PDE problems with concentrating terms near the boundary, Commun. Pure Appl. Anal., 19(4), 2147–2195 (2020). http://dx.doi.org/10.3934/cpaa.2020095
  5. Ferreira, R., & de Pablo, A., Grow-up for a quasilinear heat equation with a localized reaction, J. Differential Equations, 268(10), 6211–6229 (2020). http://dx.doi.org/10.1016/j.jde.2019.11.033
  6. Castro, A., Cossio, J., Herrón, S., Pardo, R., & Vélez, C., Infinitely many radial solutions for a sub-super critical $p$-Laplacian problem, Ann. Mat. Pura Appl. (4), 199(2), 737–766 (2020). http://dx.doi.org/10.1007/s10231-019-00898-x
  7. Brauer, U., & Karp, L., Continuity of the flow map for symmetric hyperbolic systems and its application to the Euler-Poisson system, J. Anal. Math., 141(1), 113–163 (2020). http://dx.doi.org/10.1007/s11854-020-0125-4
  8. Arrieta, J. M., & Villanueva-Pesqueira, M., Elliptic and parabolic problems in thin domains with doubly weak oscillatory boundary, Commun. Pure Appl. Anal., 19(4), 1891–1914 (2020). http://dx.doi.org/10.3934/cpaa.2020083

Year 2021

  1. Pereira, M. C., & Sastre-Gomez, S., Nonlocal and nonlinear evolution equations in perforated domains, J. Math. Anal. Appl., 495(2), 124729–21 (2021). http://dx.doi.org/10.1016/j.jmaa.2020.124729
  2. Mavinga, N., & Pardo, R., Equivalence between uniform \(L^p^*\) a priori bounds and uniform \(L^\infty\) a priori bounds for subcritical $p$-Laplacian equations, Mediterr. J. Math., 18(1), 13–24 (2021). http://dx.doi.org/10.1007/s00009-020-01673-6
  3. Ferreira, R., & de Pablo, A., Blow-up rates for a fractional heat equation, Proc. Amer. Math. Soc., 149(5), 2011–2018 (2021). http://dx.doi.org/10.1090/proc/15165
  4. Clapp, M., Pardo, R., Pistoia, A., & Saldaña, A., A solution to a slightly subcritical elliptic problem with non-power nonlinearity, J. Differential Equations, 275(), 418–446 (2021). http://dx.doi.org/10.1016/j.jde.2020.11.030
  5. Cardone, G., Perugia, C., & Villanueva Pesqueira, M., Asymptotic behavior of a Bingham flow in thin domains with rough boundary, Integral Equations Operator Theory, 93(3), 24–26 (2021). http://dx.doi.org/10.1007/s00020-021-02643-7
  6. Brauer, U., & Karp, L., The non-isentropic relativistic Euler system written in a symmetric hyperbolic form, In (Eds.), Anomalies in partial differential equations (pp. 63–76) (2021). : Springer, Cham.
  7. Bezerra, F. D. M., Sastre-Gomez, S., & da Silva, S. H., Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition, Appl. Anal., 100(9), 1889–1904 (2021). http://dx.doi.org/10.1080/00036811.2019.1671973
  8. Arrieta J.M., J.C. Nakasato, M.C. Pereira, "The p-Laplacian equation in thin domains: The unfolding approach", Journal of Differential Equations 274 (2021) pp: 1-34
  9. Chhetri, N., Mavinga, M., & Pardo, R., Bifurcation from infinity with oscillatory nonlinearity for Neumann problem, Electron. J. Differential Equations, Specialissue(1), 279–292 (2021).

Year 2022

  1. Rodríguez-Bernal, A., & Sastre-Gómez, S., Nonlinear nonlocal reaction-diffusion problem with local reaction, Discrete Contin. Dyn. Syst., 42(4), 1731–1765 (2022). http://dx.doi.org/10.3934/dcds.2021170
  2. Rodríguez-Bernal, A., Principal eigenvalue, maximum principles and linear stability for nonlocal diffusion equations in metric measure spaces, Nonlinear Anal., 221(), 112887–34 (2022). http://dx.doi.org/10.1016/j.na.2022.112887
  3. Ferreira, R., & de Pablo, A., A nonlinear diffusion equation with reaction localized in the half-line, Math. Eng., 4(3), 024–24 (2022). http://dx.doi.org/10.3934/mine.2022024
  4. Cholewa, J. W., & Rodriguez-Bernal, A., Sharp estimates for homogeneous semigroups in homogeneous spaces. Applications to PDEs and fractional diffusion in \(\Bbb R^N\), Commun. Contemp. Math., 24(1), 2050070–56 (2022). http://dx.doi.org/10.1142/S0219199720500704
  5. Cholewa, J. W., & Rodriguez-Bernal, A., On some PDEs involving homogeneous operators. Spectral analysis, semigroups and Hardy inequalities, J. Differential Equations, 315(), 1–56 (2022). http://dx.doi.org/10.1016/j.jde.2022.01.029
  6. Bandyopadhyay, S., Chhetri, M., Delgado, B. B., Mavinga, N., & Pardo, R., Maximal and minimal weak solutions for elliptic problems with nonlinearity on the boundary, Electron. Res. Arch., 30(6), 2121–2137 (2022). http://dx.doi.org/10.3934/era.2022107

Accepted for publication

  1. Brauer, U., & Karp, L., Global existence of a nonlinear wave equation arising from Nordström's theory of gravitation accepted for publication in Journal of Evolution equations, (preprint in the arXiv) https://arxiv.org/abs/1912.03643 (2019).

Submitted for publication

  1. J.M. Arrieta, A.N. Carvalho, E. Moreira, J. Valero, "Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem", Submitted


Books

  1. S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”, Editorial Síntesis. 2007
  2. 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).
  3. R. Ferreira y S. Rodríguez, Ecuaciones Diferenciales y Cálculo Vectorial, editorial Garceta
  4. Rodríguez del Río. Una nueva visión de la geometría, Felix Klein. Colección Genios de las Matemáticas, RBA, Barcelona, 2017. (ISBN:978-84-473-9067-0). Translated into French (ISBN: 978-84-473-9611-5) and into Italian (ISSN: 2531-890X)
  5. Arrieta Algarra J.M., Ferreira de Pablo R, Pardo San Gil R, Rodríguez Bernal A, "Análisis Numérico de Ecuaciones Diferenciales". Paraninfo (2020) (ISBN: 9788428344418)
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