December 25, 2024, Wednesday, 359

Publications

De Cadedif

(Diferencias entre revisiones)
(→Año 2014: sup)
(Add seminarios in order to generate a new page)
 
(47 ediciones intermedias no se muestran.)
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== Publicaciones en revistas internacionales ==  
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== Publications in peer reviewed journals ==
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=== Año 2002  ===
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=== Publications before 2017===  
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# J. M. Arrieta, N. Consul, A. Rodríguez-Bernal “Pattern Formation from boundary reaction”''' '''''Fields Inst. Commun.'', 31, pp. 13-18, Amer. Math. Soc., Providence, RI, (2002).''' '''<br/>
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[[Publications before 2017]] [[Seminarios]]
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# X. Biao Lin, I. Bosch “Heteroclinic and periodic cycles in a perturbed convection model”'' Journal of Differential Equations'' 182 pp. 219-265 (2002)<br/>
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# R. Ferreira, P. Groisman y J. D. Rossi, “Numerical Blow-up for a nonlinear problem with a nonlinear boundary condition”'' Math. Models and Methods in Applied Sciences'', 12, 461--483, 2002<br/>
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# R. Ferreira, V. A. Galaktionov y J. L. Vázquez, “Uniqueness of Asymptotic Profiles for and extinction Problem”'' Nonlinear Analysis T. M. A.'', 50, 495--507, 2002<br/>
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# R. Ferreira, F. Quiros y J. D. Rossi “The balance between nonlinear inwards and outwards boundary-flux for nonlinear heat equations” ''Journal of Differential Equation'', 184, 259--282, 2002<br/>
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# A. Jiménez-Casas and A. Rodríguez-Bernal. Asymptotic behaviour for a phase field model in higher order Sobolev spaces. ''Rev. Mat. Complut.'', 15(1):213-248, 2002.<br/>
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# A. Rodríguez-Bernal. Some qualitative dynamics of nonlinear boundary conditions. ''Internat. J. Bifur. Chaos Appl. Sci. Engrg.'', 12(11):2333-2342. Spatio-temporal comp lexity. (2002)<br/>
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# A. Rodríguez-Bernal. Attractors for parabolic equations with nonlinear boundary conditions, critical exponents, and singular initial data. ''J. Differential Equations,'' 181(1):165-196, 2002.<br/>
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# R. Dager, E. Zuazua “Spectral boundary controllability of networks of strings”, C.R. Acad. Sci. Paris, Serie I, 334 (7), 545-550, (2002)<br/> 
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=== Año 2003 ===
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===  Year 2017===
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# J. Fernández Bonder, R. Ferreira y J. D. Rossi, “Uniform bounds for the best Sobolev trace constant” ''Advanced Nonlinear Studies'', 3, 181--192, 2003<br/>
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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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# R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “The blow-up profile for a fast diffusion equation with a nonlinear boundary condition” ''Rocky Mountain J. Math,'' 33, 123--146, 2003<br/>
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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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# R. Ferreira y J. L. Vázquez “Study of self-similarity for the fast difusión equation” ''Advances in Differential Equations'', 8, 1125--1152, 2003<br/>
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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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# R. Ferreira, P. Groisman y J. D. Rossi , “An adaptive numerical scheme for a parabolic problem with blow-up”'' IMA Journal of Numerical Análisis'', 23, 439--463, 2003<br/>
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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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# M. Negreanu, E. Zuazua, “Uniform boundary controllabillity of a discrete 1-D wave equation” , ''System and Control Letters'', 48, Issues 3-4 pp 261-279 (2003)<br/>
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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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# M. Negreanu, E. Zuazua, “A 2-d grid algorithm for the 1-d wave equation” Proceedings of the Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, Physcis and Astronomy, pp. 213-217, Springer (2003)<br/>
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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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# R. Rodríguez del Río, E. Zuazua, “Series de Fourier y fenómeno de Gibbs”, Cubo Matemática Eduacional, 5 pp. 185-224 (2003)<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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# 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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# 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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# 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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# 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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# Rodríguez-Bernal, Aníbal The heat equation with general periodic boundary conditions. Potential Anal. 46 (2017), no. 2, 295–321.
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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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# 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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# 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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# Jiménez-Casas, Ángela Asymptotic Behaviour of the Nonlinear Dynamical System Governing a Thermosyphon Model. Chaotic Modeling and Simulation (CMSIM).
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=== Año 2004 ===
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=== Year 2018 ===
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# J.M. Arrieta "El Cálculo y la Modelización Matemática", en R. Rodríguez, E. Zuazua, ''De la Aritmética al Análisis: Historia y Desarrollo reciente en Matemáticas,'' Aulas de Verano, Instituto Superior de Formación del Profesorado, Ministerio de Educación y Ciencia,pp 11-57 (2004)<br/>
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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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# J. M. Arrieta, A.N. Carvalho "Spectral Convergence and Nonlinear Dynamics for Reaction-Diffusion Equations under Perturbations of the Domain" ''Journal of Diff. Equations ''199, pp. 143-178 (2004)<br/>
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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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# J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Asymptotic Behavior and Attractors for Reaction Diffusion Equations in Unbounded Domains" ''Nonlinear Analysis, ''56, pp. 515-554 (2004) <br/>
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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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# J. M. Arrieta, N. Consul, A. Rodríguez-Bernal, "Stable boundary layers in a diffusion problem with nonlinear reaction at the boundary" ''Z.. Angew. Math. Phys. ''55, pp. 1-14 (2004) <br/>
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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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# J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Linear parabolic equations in locally uniform spaces" ''Mathematical Models and Methods in Applied Sciences'', 14, n. 2, 253-294 (2004)<br/>
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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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# J. M. Arrieta, A. Rodríguez-Bernal and P. Souplet, "Boundedness of Global Solutions for Nonlinear Parabolic Equations involving Gradient Blow-up Phenomena" ''Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. ''Issue 1, Volume 3/2004, Series 5, pp 1-15, (2004) <br/>
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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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# J. M. Arrieta, A. Rodríguez-Bernal "Localization on the boundary of blow-up for reaction-diffusion equations with nonlinear boundary conditions" ''Communications in Partial Differential Equations'' 29, 7&8, pp. 1127-1148 (2004) <br/>
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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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# J.M. Arrieta, A. Rodríguez-Bernal "Non well posedness of parabolic equations with supercritical nonlinearities" ''Communications in Contemporary Mathematics'' 6, n 5, pp. 733-764 (2004)<br/>
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# Jiménez-Casas, Ángela Asymptotic Behaviour of a Viscoelastic Thermosyphon Model.Chaotic Modeling and Simulation (CMSIM).
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# E. Chasseigne y R.Ferreira, “Monotone approximations of Green functions” ''Comptes Rendus Mathématique.'' Académie des Sciences. Paris, 339, 395--400, 2004<br/>
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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)
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# R. Ferreira, P. Groisman y J. D. Rossi., “Numerical blow-up for the porous medium equation with a source”'' Numerical Methods for Partial Differential Eq,'' 20, 552--575, 2004<br/>
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# 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
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# R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Superfast quenching”'' Journal Differential Equations'', 199, 189--209, 2004<br/>
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# 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.
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# M. Negreanu, E. Zuazua “Discrete Ingham inequalities and applications”, ''CRAS Paris'', Serie I. Math 338 pp 281-286 (2004)<br/>
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# L. Popescu and A. Rodríguez-Bernal. On a singularly perturbed wave equation with dynamic boundary conditions. ''Proc. Roy. Soc. Edinburgh ''Sect. A, 134(2):389-413, 2004.<br/>
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# R. Dager, “Networks of strings: modelization and control of vibrations”, e-STA, vol 1, (2004)<br/>
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# R. Dager, “Observation and control of vibrations in tree-shaped networks of strings” SIAM Journal on Control and Optimization 43, 590-623, (2004)<br/> 
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=== Año 2005  ===
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=== Year 2019 ===
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# J.M. Arrieta, A. Rodríguez-Bernal. "Ill posed problems with supercritical nonlinearities''. International Conference on Differential Equations (EQUADIFF'03) Hasselt, Belgium. World Scientific, pp 277 280, (2005) , <br/>
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# 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
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# J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal "Nonhomogenous flux condition as limit of localized reactions''. International Conference on Differential Equations (EQUADIFF'03) Hasselt, Belgium. World Scientific, pp 293-295, (2005), <br/>
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# 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)
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# J.M. Arrieta, S. M. Bruschi "Problemas de valor de fronteira em domínios com oscilaçōes na fronteira", ''Seminario Brasileiro de Análise,'' Edición nº 62, Noviembre (2005), <br/>
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# 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.
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# R. Ferreira, A. de Pablo, F. Quiros y J. L. Vázquez, “Blow-up. El problema matemático de explosión para ecuaciones y sistemas de reacción difusión” ''Boletín de la Soc. Española de Matemática Aplicada'', 32, 75-111, 2005<br/>
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# Ferreira, Raúl Blow-up for a semilinear non-local diffusion system. Nonlinear Anal. 189, 12 pp.
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# P. Quittner and A. Rodríguez-Bernal. Complete and energy blow-up in parabolic problems with nonlinear boundary conditions. ''Nonlinear Anal. TMA'', 62(5):863-875, (2005).<br/>
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# 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).
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# A. Rodríguez-Bernal and A. Vidal-López. Extremal equilibria and asymptotic behavior of parabolic nonlinear reaction-diffusion equations. In ''Nonlinear elliptic and parabolic problems: A Special Tribute to the Work of H. Amann.'', volume 64 of Progr. Nonlinear Differential Equations Appl., pages 509-516. Birkhäuser, Basel, (2005).<br/>
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# A. Rodríguez-Bernal. Parabolic equations in locally uniform spaces. In ''Nonlinear elliptic and parabolic problems,'' volume 64 of Progr. Nonlinear Differential Equations Appl., pages 421-432. Birkhäuser, Basel, (2005).<br/>
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# A. Rodríguez-Bernal and R. Willie. Singular large diffusivity and spatial homogenization in a non homogeneous linear parabolic problem. ''Discrete Contin. Dyn. Syst.'' Ser. B, 5(2):385-410, (2005).<br/>
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# R. Ferreira, A. de Pablo y M. Pérez-Llanos, “Numerical blow-up for the p-laplacian equation with a source”, ''Computational Methods in Applied Mathematics ''5, 137-154, (2005)<br/>
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# R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “On the quenching set for a fast diffusion equation.Regional quenching”'', Proceedings of the Royal Society of Edinburgh. Section A, ''135, 585—601, (2005)<br/>
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# A. Jiménez-Casas, “Metastable solutions for the thin-interface limit of a phase-field model” ''Nonlinear Analysis'', ''Volume ''63, Issues 5-7, 963-970, (2005)<br/>
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# A. Jiménez-Casas, “Well posedness and asymptotic behavior of a closed loop thermosyphon”, World Scientific Publications pp: 59-74, (2005)<br/> 
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=== Año 2006  ===
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=== Year 2020 ===
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# R. Dager, E. Zuazua, “Wave propagation, observation and control of 1-D flexible multi-structures”, Mathematiques et Applications 50, Springer-Berlag Berlin (2006), <nowiki>x+221 pp. ISBN: 978-3-540-27239-9; 3-540-27239-9 [LIBRO DE INVESTIGACIÓN]</nowiki>
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# 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
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# I. Bosch, A. M. Minzoni, “Chaotic behavior in a singularly perturbed system” ''Nonlinearity'' 19, 1535-1551 (2006)<br/>
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# Pardo, R., & Sanjuán, A., ''Asymptotic behavior of positive radial solutions to elliptic equations approaching critical growth'', Electron. J. Differential Equations, '''()''', 114–17 (2020).
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# M. Negreanu, E. Zuazua “Discrete Ingham inequalities and applications”, ''SIAM Journal of Numerical Analysis,'' Volume 44, Issue I (2006) pp 412-4448<br/>
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# 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
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# A. Rodríguez-Bernal and A. Vidal, “Asymptotic behavior of positive solutions of nonautonomous reaction-diffusion equations”, ''Bol. Soc. Esp. Mat. Apl.'' 34, 99-104 (2006) <br/>
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# 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
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# J. C. Robinson, A. Vidal López, “Minimal periods of semilinear evolution equations with Lipschitz nonlinearity”. ''Jounal of Differential Equations'', Vol. 220 (2), 396-406 (2006).<br/>
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# 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
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# J.M. Arrieta, S. M. Bruschi "Boundary Oscillations and Nonlinear Boundary Conditions",  ''Comptes Rendus Mathematique, ''t. 343, Series I, pp. 99-104 (2006)<br/>
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# 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
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# J.M. Arrieta, A. Rodríguez-Bernal, J. Valero "Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity", ''International Journal of Bifurcation and Chaos'' 16, n. 10, pp. 2965-2984  (2006)<br/>
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# 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
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# J.M. Arrieta A.N. Carvalho and G. Lozada-Cruz "Dynamics in dumbbell domains I. Continuity of the set of equilibria" ''Journal of Differential Equations ''231, Issue 2, pp. 551-597, (2006),<br/>
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# 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
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# R. Ferreira, A. de Pablo y J. L. Vázquez, “Classification of blow-up with nonlinear diffusion and localized reaction”, ''Journal Differential Equations ''231, 195—211, (2006)<br/>
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# R. Ferreira, A. de Pablo, G. Reyes y A. Sánchez, “The interfaces of an inhomogeneous porous médium equation with convection”'' Communications in Partial Differential Equation''s , 31, 497—514, (2006)<br/>
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# R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up for a degenerate diffusion problem not in divergence form”, ''Indiana University Mathematics Journal '', 55, 955—974, (2006)<br/>
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# R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Non-simultaneous quenching in a system of heat equations coupled at the boundary”'' Zeitschrift fur Angewandte Mathematik und Physik '', 57, 586—594, (2006).<br/>
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# R. Pardo, V. M. Pérez-García, “Dissipative solutions that cannot be trapped”, ''Phys. Rev. Lett.'' 97, (2006). <br/>
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# R. Dager, A. Presa, “Duality of the space of germs of harmonic vector fields on a compact”, C.R. Acad. Sci. Paris, Serie I, 343 (1), 19-22, (2006)<br/>
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# R. Dager, “Insensitizing controls for the 1-D wave equation”, SIAM Journal on Control and Optimization 45, 1758-1768, (2006)<br/>
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=== Año 2007  ===
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=== Year 2021 ===
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# J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal "Bifurcation and stability of equilibria with asymptotically linear boundary conditions at infinity", ''Proc. of the Royal Society of Edinburgh A,'' Vol.137, Issue 02,  225-252. (2007),<br/>
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# 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
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# A. Rodríguez-Bernal, R. Willie, “Nesting inertial manifolds of reaction-diffusion equations and large diffusivity. ''Nonlinear Analisis'' 67, 70-93 (2007)<br/>
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# 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
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# A. Rodríguez-Bernal, A. Vidal, “Existence, uniqueness and attractivity properties of positive complete trajectories for non-autonomous reaction-diffusion problems”, ''Disc. Cont. Dyn. Systems ''18, 537--567, (2007)<br/>
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# 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
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# J.A. Langa, J.C. Robinson, A.Rodríguez-Bernal, A. Suárez, A. Vidal, “Existence and non-existence of unbounded forward attractor for a class of nonautonomous reaction diffusion equations”. ''Disc. Cont. Dyn. Systems ''18, 483—497, (2007)<br/>
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# 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
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# J.M. Arrieta, S.M. Bruschi “Rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a Lipschitz deformation”, ''Mathematical Models and Methods in Applied Sciences'' 17, nº 10 (2007)<br/>
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# 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
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# R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up with logarithmic nonlinearities”, ''Journal Differential Equations ''240, Issue 1, Pages 196-215 (2007)<br/>
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# 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.
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# J.C. Robinson, A. Rodríguez-Bernal, A. Vidal-López, “Pullback attractors and extremal complete trajectories for non-autonomous reaction-diffusion problems”, Journal of Differential Equations 238, 289-337 (2007)<br/>
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# 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
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# U. Brauer, L. Karp, “Local existence of classical solutions of the Einstein-Euler system using weighted Sobolev spaces of fractional order”, Comptes Rendus Mathematique 345, pp 49-54 (2007)<br/>
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# 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
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# J. A. Langa, J. C. Robinson, A. Suárez, A. Vidal-López, “The stability of attractors for non-autonomous perturbation of gradient-like systems”, ''Journal of Differential Equations'' 234, 605-627 (2007). <br/>
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# Chhetri, N., Mavinga, M., & Pardo, R., ''Bifurcation from infinity with oscillatory nonlinearity for Neumann problem'', Electron. J. Differential Equations, '''Specialissue(1)''', 279–292 (2021).
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# J. M. Arrieta and A. Rodríguez-Bernal, “Blow up versus global boundedness of solutions of reaction diffusion equations with nonlinear boundary conditions”, Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 1-7 <br/>
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# J. M. Arrieta, A. Jimenéz-Casas and A. Rodríguez-Bernal, “Robin type conditions arising from concentrated potentials”, Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 157-164 <br/>
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# A. de Pablo, M. Pérez-Llanos and R. Ferreira''', “'''Numerical blow-up for the ''p''-Laplacian equation with a nonlinear source” Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 363-367<br/>
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# J. M. Arrieta, N. Moya, A. Rodríguez-Bernal''', “'''Dissipative dynamics of reaction diffusion equations in ''R^N” ''Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007), pp 405-414.<br/>
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# A. Rodríguez-Bernal and A. Vidal-López''', “'''Extremal equilibria for parabolic non-linear reaction-diffusion equations”, Proceedings of Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic (2007). pp 531-539 <br/>
+
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# J.M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal, "Dissipative parabolic equations in locally uniform spaces", ''Mathematische Nachrichten ''280, Issue 15 (2007)<br/> 
+
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#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
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=== Año 2008 ===
+
=== Year 2022 ===
 +
# 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
 +
# 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
 +
# 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
 +
# 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
-
#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)
+
== Accepted for publication  ==
-
#J.M. Arrieta, N. Moya, A. Rodríguez-Bernal: "On the finite dimension of attractors of parabolic problems in <math>R^N </math> with general potentials", Nonlinear Analysis, Theory Methods and Applications 68, Issue 5, pp. 1082-1099 (2008)
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# 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).
-
#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)
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# 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/>
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-
# 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/>
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# 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/>
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# 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/>
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# 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.
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-
# 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). <br/>
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=== Año 2009  ===
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== Submitted for publication ==
-
#R. Ferreira, “Numerical quenching for the semilinear heat equation  with a singular absorption”,  J. Comput. Appl. Math. 228, 92—103,  (2009)
+
# J.M. Arrieta, A.N. Carvalho, E. Moreira, J. Valero, "Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem", Submitted
-
#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)
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-
#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)
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#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) 
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-
#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)
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-
#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).
+
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#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)
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#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
+
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#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
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-
#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
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#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)
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=== Año 2010 ===
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#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)
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#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)
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#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)
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#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)
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#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)
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#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)
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-
#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).
+
-
 
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=== Año 2011 ===
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#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)
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#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)
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#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)
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#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)
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-
#C. Brändle, E. Chasseigne, R. Ferreira, Unbounded solutions of the nonlocal heat equation,  Commun. Pure Appl. Anal. 10  no. 6,  pp. 1663–1686, (2011)
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-
#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)
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#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).
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#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)
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#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).
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#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)
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-
#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)
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#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).
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=== Año 2012 ===
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# 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)
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# 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).
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-
# J. W. Cholewa, A. Rodriguez-Bernal, Linear and semilinear higher order parabolic equations in $R^N$, Nonlinear Analysis TMA 75, pp. 194-210 (2012).
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-
# J.M. Arrieta, M. López-Fernández, E. Zuazua, “Approximating travelling waves by equilibria of non local equations”, Asymptotic Analysis 78 pp. 145-186 (2012)
+
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# 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).
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-
# J. W. Cholewa, A. Rodriguez-Bernal, ``On the Cahn--Hilliard equation in $H^{1}(\R^{N})$''.  Journal of  Differential Equations 253, 3678--3726 (2012). 
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# 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). 
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# R. Pardo, Bifurcation for an elliptic problem with nonlinear boundary conditions, Integración. Temas de matemáticas. Vol 30, Nº 2, 151-226 (2012)
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-
# 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)
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-
# 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)
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# 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)
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=== Año 2013 ===
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# 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).
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# 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)
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# 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)
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# 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).
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#Chasseigne, Emmanuel; Sastre-Gómez, Silvia; A nonlocal two phase Stefan problem. Differential Integral Equations 26 (2013), no. 11-12, 1335–1360.
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# 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
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=== Año 2014 ===
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# J.M. Arrieta, G. Barbatis, "Stability estimates in  <sup> x<sub>i+1</sub></sup> H^1_0 for solutions of elliptic equations in varying domains” Mathematical Methods in Applied Science, 37, #2,  pp.180-186 (2014)
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# J.M. Arrieta, M. Villanueva-Pesqueira; “Thin domains with doubly oscillatory boundary”, Mathematical Methods in Applied Science, 37, 2 (2014), 158-166.
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# U. Brauer and L.Karp.  “Local existence of solutions of self gravitating relativistic perfect fluids”  Comm. Math. Physics, 325:105&#x2013;141, (2014).
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# R. Hiptmair, M. López-Fernández & A. Paganini, “Fast Convolution Quadrature Based Impedance Boundary Conditions”, Journal of Computational and Applied Mathematics 263(2014), 500-517.
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# C. Quesada, A. Rodríguez-Bernal, “Smoothing and perturbation for some fourth order linear parabolic equations in R<sup>N</sup>”, Journal of Mathematical Analysis and Applications, Volume 412, Issue 2, (2014).
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# 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)
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# J.M. Arrieta, G. Barbatis, "Stability estimates in $H^1_0$ for solutions of elliptic equations in varying domains” Mathematical Methods in Applied Science, 37, #2,  pp.180-186 (2014)
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# José M. Arrieta, Manuel Villanueva-Pesqueira; “Thin domains with doubly oscillatory boundary”, Mathematical Methods in Applied Science, 37, 2 (2014), 158-166.
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# C. Quesada, A. Rodríguez-Bernal, “Smoothing and perturbation for some fourth order linear parabolic equations in R<sup>N</sup>”, Journal of Mathematical Analysis and Applications, Volume 412, Issue 2, pp. 1105-1134 (2014)
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# 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)
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# 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)
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# 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)
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# J.W. Cholewa, A. Rodriguez-Bernal, “Critical and supercritical higher order parabolic problems in R<sup>N</sup>”, Nonlinear Analysis 104, pp. 50-74  (2014)
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# 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)
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#  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&#x2013;644 (2014). 
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# C. Quesada, A. Rodríguez-Bernal, “Perturbation of analytic semigroups in uniform spaces in R<sup>N</sup>”. Advances in Differential Equations and Applications,  SEMA/SIMAI Springer Series, Vol. 4, pp. 41&#x2013;49, (2014). ISBN  978-3-319-06952-4
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# A. Rodríguez-Bernal, S. Sastre,  “Nonlinear nonlocal reaction&#x2013;diffusion equations”. Advances in Differential Equations and Applications, SEMA/SIMAI Springer Series,  Vol. 4, pp. 53&#x2013;61, (2014). ISBN 978-3-319-06952-4
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# 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
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# 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.
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# 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&#x2013;200, (2014). ISBN 978-3-319-06952-4
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# U. Brauer and L.Karp.  “Local existence of solutions of self gravitating relativistic perfect fluids”  Comm. Math. Physics, 325:105&#x2013;141, (2014).
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=== Año 2015 ===
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# U. Brauer and L.  Karp, Elliptic equations in weighted Besov spaces on asymptotically flat Riemannian manifolds, Manuscripta Math., 148(1-2), 59-97 (2015).
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#  J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal, "Asymptotic behavior of degenerate logistic equations”, Journal of Differential Equations, 259, #11, pp.6368-6398 (2015)
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#  A. Castro, R. Pardo, “A priori bounds for positive solutions of subcritical elliptic equations”, Rev Mat Complut 28, pp: 715-731 (2015)
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#  S. Sastre, “Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves”, Nonlinear Analysis, v. 125, p. 725-731, (2015).
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#  G, Griso, M. Villanueva-Pesqueira. “Straight rod with different order of thickness”, Asymptotic Analysis, 94, 3-4 (2015), 255-291. ISSN: 0921-7134
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#  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)
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== Publicaciones aceptadas  ==
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# A. Rodríguez-Bernal, S. Sastre,  “Linear nonlocal diffusion problems in metric measure spaces”. Proceedings of the Royal Society of Edinburgh, Section: A Mathematics (Aceptado)
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# Nsoki Mavinga, R. Pardo, “Bifurcation from infinity for reaction-diffusion equations under nonlinear boundary conditions”, Proceedings of the Royal Society of Edinburgh, Section: A Mathematics (Aceptado)
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# J.M. Arrieta, M. Villanueva-Pesqueira. “Unfolding operator method for thin domains with a locally periodic highly oscillatory boundary” SIAM J. Math Anal  (Aceptado)
+
<!-- == Libros de investigación  ==  
<!-- == Libros de investigación  ==  
# R. Dager, E. Zuazua, "Wave propagation, observation and control of 1-D flexible multi-structures", Mathematiques et Applications 50, Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9; 3-540-27239-9 -->
# R. Dager, E. Zuazua, "Wave propagation, observation and control of 1-D flexible multi-structures", Mathematiques et Applications 50, Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9; 3-540-27239-9 -->
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== Libros docentes  ==
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== Books  ==
# S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”, Editorial Síntesis. 2007<br/>  
# 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. 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
# R. Ferreira y S. Rodríguez, Ecuaciones Diferenciales y Cálculo Vectorial, editorial Garceta
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# 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)
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#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)
Obtenido de "http://euler.quim.ucm.es/wiki/index.php/Publications"