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Publications
De Cadedif
(Diferencias entre revisiones)
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| (161 ediciones intermedias no se muestran.) | | Línea 1: |
Línea 1: |
| - | == Publicaciones 2002 ==
| + | __TOC__ |
| - | #J. M. Arrieta, N. Consul, A. Rodríguez-Bernal “Pattern Formation from boundary reaction” Fields Inst. Commun., 31, pp. 13-18, Amer. Math. Soc., Providence, RI, (2002).
| + | |
| | | | |
| - | #X. Biao Lin, I. Bosch “Heteroclinic and periodic cycles in a perturbed convection model” Journal of Differential Equations 182 pp. 219-265 (2002)
| + | == Publications in peer reviewed journals == |
| | + | === Publications before 2017=== |
| | + | [[Publications before 2017]] [[Seminarios]] |
| | | | |
| | + | === Year 2017=== |
| | + | # Ferreira, Raúl; Pérez-Llanos, Mayte A nonlocal operator breaking the Keller-Osserman condition. Adv. Nonlinear Stud. 17 (2017), no. 4, 715–725. |
| | + | # Mavinga, Nsoki; Pardo, Rosa Bifurcation from infinity for reaction-diffusion equations under nonlinear boundary conditions. Proc. Roy. Soc. Edinburgh Sect. A 147 (2017), no. 3, 649–671. |
| | + | # Castro, Alfonso; Pardo, Rosa Infinitely many stability switches in a problem with sublinear oscillatory boundary conditions. J. Dynam. Differential Equations 29 (2017), no. 2, 485–499. |
| | + | # Castro, Alfonso; Pardo, Rosa A priori estimates for positive solutions to subcritical elliptic problems in a class of non-convex regions. Discrete Contin. Dyn. Syst. Ser. B 22 (2017), no. 3, 783–790. |
| | + | # Mavinga, N.; Pardo, R. A priori bounds and existence of positive solutions for semilinear elliptic systems. J. Math. Anal. Appl. 449 (2017), no. 2, 1172–1188 |
| | + | # Arrieta, José M.; Ferraresso, Francesco; Lamberti, Pier Domenico Spectral analysis of the biharmonic operator subject to Neumann boundary conditions on dumbbell domains. Integral Equations Operator Theory 89 (2017), no. 3, 377–408. |
| | + | # Arrieta, José M.; Santamaría, Esperanza Distance of attractors of reaction-diffusion equations in thin domains. J. Differential Equations 263 (2017), no. 9, 5459–5506. |
| | + | # Arrieta, José M.; Lamberti, Pier Domenico Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems. J. Differential Equations 263 (2017), no. 7, 4222–4266. |
| | + | # Arrieta, José M.; Villanueva-Pesqueira, Manuel Thin domains with non-smooth periodic oscillatory boundaries. J. Math. Anal. Appl. 446 (2017), no. 1, 130–164. |
| | + | # Cholewa, Jan W.; Quesada, Carlos; Rodríguez-Bernal, Aníbal Nonlinear evolution equations in scales of Banach spaces and applications to PDEs. J. Abstr. Differ. Equ. Appl. 8 (2017), no. 2, 1–69. |
| | + | # Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal Some general models of traffic flow in an isolated network. Math. Methods Appl. Sci. 40 (2017), no. 11, 3982–4000. |
| | + | # Rodríguez-Bernal, Aníbal The heat equation with general periodic boundary conditions. Potential Anal. 46 (2017), no. 2, 295–321. |
| | + | # Quesada, Carlos; Rodríguez-Bernal, Aníbal Second order linear parabolic equations in uniform spaces in RN. Rev. Mat. Complut. 30 (2017), no. 1, 63–78. |
| | + | # Cholewa, Jan W.; Rodriguez-Bernal, Anibal Linear higher order parabolic problems in locally uniform Lebesgue's spaces. J. Math. Anal. Appl. 449 (2017), no. 1, 1–45. |
| | + | # Sastre-Gomez, Silvia Equivalent formulations for steady periodic water waves of fixed mean-depth with discontinuous vorticity. Discrete Contin. Dyn. Syst. 37 (2017), no. 5, 2669–2680. |
| | + | # Jiménez-Casas, Ángela Asymptotic Behaviour of the Nonlinear Dynamical System Governing a Thermosyphon Model. Chaotic Modeling and Simulation (CMSIM). |
| | | | |
| - | #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 | + | === Year 2018 === |
| | + | # 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. |
| | + | # Ferreira, Raul Blow-up for a semilinear heat equation with moving nonlinear reaction. Electron. J. Differential Equations 2018, Paper No. 32, 11 pp. |
| | + | # Damascelli, Lucio; Pardo, Rosa A priori estimates for some elliptic equations involving the p-Laplacian. Nonlinear Anal. Real World Appl. 41 (2018), 475–496 |
| | + | # Arrieta, José M.; Santamaría, Esperanza C1,θ-estimates on the distance of inertial manifolds. Collect. Math. 69 (2018), no. 3, 315–336. 35K90 (35B42) |
| | + | # 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. |
| | + | # 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. |
| | + | # 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 |
| | + | # Jiménez-Casas, Ángela Asymptotic Behaviour of a Viscoelastic Thermosyphon Model.Chaotic Modeling and Simulation (CMSIM). |
| | + | # 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. |
| | | | |
| - | R. Ferreira, V. A. Galaktionov y J. L. Vázquez, “Uniqueness of
| + | === Year 2019 === |
| - | Asymptotic Profiles for and extinction Problem” Nonlinear Analysis T.
| + | # 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 |
| - | M. A., 50, 495--507, 2002 | + | # 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) |
| | + | # 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. |
| | + | # Ferreira, Raúl Blow-up for a semilinear non-local diffusion system. Nonlinear Anal. 189, 12 pp. |
| | + | # 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). |
| | | | |
| - | R. Ferreira, F. Quiros y J. D. Rossi “The balance between nonlinear | + | === Year 2020 === |
| - | inwards and outwards boundary-flux for nonlinear heat equations”
| + | # 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 |
| - | Journal of Differential Equation, 184, 259--282, 2002
| + | # Pardo, R., & Sanjuán, A., ''Asymptotic behavior of positive radial solutions to elliptic equations approaching critical growth'', Electron. J. Differential Equations, '''()''', 114–17 (2020). |
| | + | # 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 |
| | + | # 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 |
| | + | # 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 |
| | + | # 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 |
| | + | # 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 |
| | | | |
| - | A. Jiménez-Casas and A. Rodríguez-Bernal. Asymptotic behaviour for a
| + | === Year 2021 === |
| - | phase field model in higher order Sobolev spaces. Rev. Mat. Complut.,
| + | # 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 |
| - | 15(1):213-248, 2002.
| + | # 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 |
| | + | # 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 |
| | + | # 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 |
| | + | # 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 |
| | + | # 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. |
| | + | # 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 |
| | + | # 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 |
| | + | # Chhetri, N., Mavinga, M., & Pardo, R., ''Bifurcation from infinity with oscillatory nonlinearity for Neumann problem'', Electron. J. Differential Equations, '''Specialissue(1)''', 279–292 (2021). |
| | | | |
| - | A. Rodríguez-Bernal. Some qualitative dynamics of nonlinear boundary | + | === Year 2022 === |
| - | conditions. Internat. J. Bifur. Chaos Appl. Sci. Engrg.,
| + | # 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 |
| - | 12(11):2333-2342. Spatio-temporal complexity. (2002)
| + | # 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 |
| | | | |
| - | A. Rodríguez-Bernal. Attractors for parabolic equations with nonlinear
| + | == Accepted for publication == |
| - | boundary conditions, critical exponents, and singular initial data. J.
| + | # 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). |
| - | Differential Equations, 181(1):165-196, 2002.
| + | |
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| - | R. Dager, E. Zuazua “Spectral boundary controllability of networks of
| + | == Submitted for publication == |
| - | strings”, C.R. Acad. Sci. Paris, Serie I, 334 (7), 545-550, (2002)
| + | # J.M. Arrieta, A.N. Carvalho, E. Moreira, J. Valero, "Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem", Submitted |
| | | | |
| - | == Publicaciones 2003 == | + | <!-- == 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 --> |
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| - | | + | == Books == |
| - | J. Fernández Bonder, R. Ferreira y J. D. Rossi, “Uniform bounds for
| + | # S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”, Editorial Síntesis. 2007<br/> |
| - | the best Sobolev trace constant” Advanced Nonlinear Studies, 3,
| + | # R. Rodríguez, E. Zuazua, “De la aritmética al análisis. Historia y desarrollo reciente en matemáticas” Ministerio de Educación y Ciencia. (ISBN: 84-369-3845-3).<br/> |
| - | 181--192, 2003
| + | # 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) |
| - | R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “The blow-up
| + | #Arrieta Algarra J.M., Ferreira de Pablo R, Pardo San Gil R, Rodríguez Bernal A, "Análisis Numérico de Ecuaciones Diferenciales". Paraninfo (2020) (ISBN: 9788428344418) |
| - | profile for a fast diffusion equation with a nonlinear boundary
| + | |
| - | condition” Rocky Mountain J. Math, 33, 123--146, 2003
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| - | | + | |
| - | R. Ferreira y J. L. Vázquez “Study of self-similarity for the fast
| + | |
| - | difusión equation”
| + | |
| - | Advances in Differential Equations, 8, 1125--1152, 2003
| + | |
| - | | + | |
| - | R. Ferreira, P. Groisman y J. D. Rossi , “An adaptive numerical scheme
| + | |
| - | for a parabolic problem with blow-up” IMA Journal of Numerical
| + | |
| - | Análisis, 23, 439--463, 2003
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| - | | + | |
| - | M. Negreanu, E. Zuazua, “Uniform boundary controllabillity of a
| + | |
| - | discrete 1-D wave equation” , System and Control Letters, 48, Issues
| + | |
| - | 3-4 pp 261-279 (2003)
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| - | | + | |
| - | M. Negreanu, E. Zuazua, “A 2-d grid algorithm for the 1-d wave
| + | |
| - | equation” Proceedings of the Sixth International Conference on
| + | |
| - | Mathematical and Numerical Aspects of Wave Propagation, Waves 2003,
| + | |
| - | Physcis and Astronomy, pp. 213-217, Springer (2003)
| + | |
| - | | + | |
| - | R. Rodríguez del Río, E. Zuazua, “Series de Fourier y fenómeno de
| + | |
| - | Gibbs”, Cubo Matemática Eduacional, 5 pp. 185-224 (2003)
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| - | | + | |
| - | == Publicaciones 2004 == | + | |
| - | | + | |
| - | J.M. Arrieta "El Cálculo y la Modelización Matemática", en R.
| + | |
| - | Rodríguez, E. Zuazua, De la Aritmética al Análisis: Historia y
| + | |
| - | Desarrollo reciente en Matemáticas, Aulas de Verano, Instituto
| + | |
| - | Superior de Formación del Profesorado, Ministerio de Educación y
| + | |
| - | Ciencia,
| + | |
| - | pp 11-57 (2004)
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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)
| + | |
| - | | + | |
| - | J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal,
| + | |
| - | "Asymptotic Behavior and Attractors for Reaction Diffusion Equations
| + | |
| - | in Unbounded Domains" Nonlinear Analysis, 56, pp. 515-554 (2004)
| + | |
| - | | + | |
| - | J. M. Arrieta, N. Consul, A. Rodríguez-Bernal, "Stable boundary layers
| + | |
| - | in a diffusion problem with nonlinear reaction at the boundary" Z..
| + | |
| - | Angew. Math. Phys. 55, pp. 1-14 (2004)
| + | |
| - | | + | |
| - | J. M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal,
| + | |
| - | "Linear parabolic equations in locally uniform spaces" Mathematical
| + | |
| - | Models and Methods in Applied Sciences, 14, n. 2, 253-294 (2004)
| + | |
| - | | + | |
| - | J. M. Arrieta, A. Rodríguez-Bernal and P. Souplet, "Boundedness of
| + | |
| - | Global Solutions for Nonlinear Parabolic Equations involving Gradient
| + | |
| - | Blow-up Phenomena" Annali della Scuola Normale Superiore di Pisa,
| + | |
| - | Classe di Scienze. Issue 1, Volume 3/2004, Series 5, pp 1-15, (2004)
| + | |
| - | | + | |
| - | J. M. Arrieta, A. Rodríguez-Bernal "Localization on the boundary of
| + | |
| - | blow-up for reaction-diffusion equations with nonlinear boundary
| + | |
| - | conditions" Communications in Partial Differential Equations 29, 7&8,
| + | |
| - | pp. 1127-1148 (2004)
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Rodríguez-Bernal "Non well posedness of parabolic
| + | |
| - | equations with supercritical nonlinearities" Communications in
| + | |
| - | Contemporary Mathematics 6, n 5, pp. 733-764 (2004)
| + | |
| - | | + | |
| - | E. Chasseigne y R.Ferreira, “Monotone approximations of Green
| + | |
| - | functions” Comptes Rendus Mathématique. Académie des Sciences. Paris,
| + | |
| - | 339, 395--400, 2004
| + | |
| - | | + | |
| - | R. Ferreira, P. Groisman y J. D. Rossi., “Numerical blow-up for the
| + | |
| - | porous medium equation with a source” Numerical Methods for Partial
| + | |
| - | Differential Eq, 20, 552--575, 2004
| + | |
| - | | + | |
| - | R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Superfast
| + | |
| - | quenching” Journal Differential Equations, 199, 189--209, 2004
| + | |
| - | | + | |
| - | M. Negreanu, E. Zuazua “Discrete Ingham inequalities and
| + | |
| - | applications”, CRAS Paris, Serie I. Math 338 pp 281-286 (2004)
| + | |
| - | | + | |
| - | L. Popescu and A. Rodríguez-Bernal. On a singularly perturbed wave
| + | |
| - | equation with dynamic boundary conditions. Proc. Roy. Soc. Edinburgh
| + | |
| - | Sect. A, 134(2):389-413, 2004.
| + | |
| - | | + | |
| - | R. Dager, “Networks of strings: modelization and control of
| + | |
| - | vibrations”, e-STA, vol 1, (2004)
| + | |
| - | | + | |
| - | R. Dager, “Observation and control of vibrations in tree-shaped
| + | |
| - | networks of strings” SIAM Journal on Control and Optimization 43,
| + | |
| - | 590-623, (2004)
| + | |
| - | | + | |
| - | == Publicaciones 2005 ==
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Rodríguez-Bernal. "Ill posed problems with
| + | |
| - | supercritical nonlinearities''. International Conference on
| + | |
| - | Differential Equations (EQUADIFF'03) Hasselt, Belgium. World
| + | |
| - | Scientific, pp 277 280, (2005) ,
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal "Nonhomogenous
| + | |
| - | flux condition as limit of localized reactions''. International
| + | |
| - | Conference on Differential Equations (EQUADIFF'03) Hasselt, Belgium.
| + | |
| - | World Scientific, pp 293-295, (2005),
| + | |
| - | | + | |
| - | J.M. Arrieta, S. M. Bruschi "Problemas de valor de fronteira em
| + | |
| - | domínios com oscilaçōes na fronteira", Seminario Brasileiro de
| + | |
| - | Análise, Edición nº 62, Noviembre (2005),
| + | |
| - | | + | |
| - | R. Ferreira, A. de Pablo, F. Quiros y J. L. Vázquez, “Blow-up. El
| + | |
| - | problema matemático de explosión para ecuaciones y sistemas de
| + | |
| - | reacción difusión” Boletín de la Soc. Española de Matemática Aplicada,
| + | |
| - | 32, 75-111, 2005
| + | |
| - | | + | |
| - | P. Quittner and A. Rodríguez-Bernal. Complete and energy blow-up in
| + | |
| - | parabolic problems with nonlinear boundary conditions. Nonlinear Anal.
| + | |
| - | TMA, 62(5):863-875, (2005).
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal and A. Vidal-López. Extremal equilibria and
| + | |
| - | asymptotic behavior of parabolic nonlinear reaction-diffusion
| + | |
| - | equations. In Nonlinear elliptic and parabolic problems: A Special
| + | |
| - | Tribute to the Work of H. Amann., volume 64 of Progr. Nonlinear
| + | |
| - | Differential Equations Appl., pages 509-516. Birkhäuser, Basel,
| + | |
| - | (2005).
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal. Parabolic equations in locally uniform spaces. In
| + | |
| - | Nonlinear elliptic and parabolic problems, volume 64 of Progr.
| + | |
| - | Nonlinear Differential Equations Appl., pages 421-432. Birkhäuser,
| + | |
| - | Basel, (2005).
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal and R. Willie. Singular large diffusivity and
| + | |
| - | spatial homogenization in a non homogeneous linear parabolic problem.
| + | |
| - | Discrete Contin. Dyn. Syst. Ser. B, 5(2):385-410, (2005).
| + | |
| - | | + | |
| - | R. Ferreira, A. de Pablo y M. Pérez-Llanos, “Numerical blow-up for the
| + | |
| - | p-laplacian equation with a source”, Computational Methods in Applied
| + | |
| - | Mathematics 5, 137-154, (2005)
| + | |
| - | | + | |
| - | R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “On the quenching
| + | |
| - | set for a fast diffusion equation.Regional quenching”, Proceedings of
| + | |
| - | the Royal Society of Edinburgh. Section A, 135, 585—601, (2005)
| + | |
| - | | + | |
| - | | + | |
| - | A. Jiménez-Casas, “Metastable solutions for the thin-interface limit
| + | |
| - | of a phase-field model” Nonlinear Analysis, Volume 63, Issues 5-7,
| + | |
| - | 963-970, (2005)
| + | |
| - | | + | |
| - | A. Jiménez-Casas, “Well posedness and asymptotic behavior of a closed
| + | |
| - | loop thermosyphon”, World Scientific Publications pp: 59-74, (2005)
| + | |
| - | | + | |
| - | | + | |
| - | == Publicaciones 2006 ==
| + | |
| - | | + | |
| - | R. Dager, E. Zuazua, “Wave propagation, observation and control of
| + | |
| - | 1-D flexible multi-structures”, Mathematiques et Applications 50,
| + | |
| - | Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9;
| + | |
| - | 3-540-27239-9 [LIBRO DE INVESTIGACIÓN]
| + | |
| - | | + | |
| - | I. Bosch, A. M. Minzoni, “Chaotic behavior in a singularly perturbed
| + | |
| - | system” Nonlinearity 19, 1535-1551 (2006)
| + | |
| - | | + | |
| - | M. Negreanu, E. Zuazua “Discrete Ingham inequalities and
| + | |
| - | applications”, SIAM Journal of Numerical Analysis, Volume 44, Issue I
| + | |
| - | (2006) pp 412-4448
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal and A. Vidal, “Asymptotic behavior of positive
| + | |
| - | solutions of nonautonomous reaction-diffusion equations”, Bol. Soc.
| + | |
| - | Esp. Mat. Apl. 34, 99-104 (2006)
| + | |
| - | | + | |
| - | J. C. Robinson, A. Vidal–López, “Minimal periods of semilinear
| + | |
| - | evolution equations with Lipschitz nonlinearity”. Jounal of
| + | |
| - | Differential Equations, Vol. 220 (2), 396–406 (2006).
| + | |
| - | | + | |
| - | J.M. Arrieta, S. M. Bruschi "Boundary Oscillations and Nonlinear
| + | |
| - | Boundary Conditions", Comptes Rendus Mathematique, t. 343, Series I,
| + | |
| - | pp. 99-104 (2006)
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Rodríguez-Bernal, J. Valero "Dynamics of a
| + | |
| - | reaction-diffusion equation with a discontinuous nonlinearity",
| + | |
| - | International Journal of Bifurcation and Chaos 16, n. 10, pp.
| + | |
| - | 2965-2984 (2006)
| + | |
| - | | + | |
| - | J.M. Arrieta A.N. Carvalho and G. Lozada-Cruz "Dynamics in dumbbell
| + | |
| - | domains I. Continuity of the set of equilibria" Journal of
| + | |
| - | Differential Equations 231, Issue 2, pp. 551-597, (2006),
| + | |
| - | | + | |
| - | R. Ferreira, A. de Pablo y J. L. Vázquez, “Classification of blow-up
| + | |
| - | with nonlinear diffusion and localized reaction”, Journal Differential
| + | |
| - | Equations 231, 195—211, (2006)
| + | |
| - | | + | |
| - | R. Ferreira, A. de Pablo, G. Reyes y A. Sánchez, “The interfaces of an
| + | |
| - | inhomogeneous porous médium equation with convection” Communications
| + | |
| - | in Partial Differential Equations , 31, 497—514, (2006)
| + | |
| - | | + | |
| - | R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up for a degenerate
| + | |
| - | diffusion problem not in divergence form”, Indiana University
| + | |
| - | Mathematics Journal , 55, 955—974, (2006)
| + | |
| - | | + | |
| - | R. Ferreira, A. de Pablo, F. Quiros y J. D. Rossi, “Non-simultaneous
| + | |
| - | quenching in a system of heat equations coupled at the boundary”
| + | |
| - | Zeitschrift fur Angewandte Mathematik und Physik , 57, 586—594,
| + | |
| - | (2006).
| + | |
| - | | + | |
| - | R. Ferreira, A. de Pablo y J. L. Vázquez, “Classification of blow-up
| + | |
| - | with nonlinear diffusion and localized reaction” Aparecerá en Journal
| + | |
| - | Differential Equations 231, 195-211 (2006)
| + | |
| - | | + | |
| - | R. Pardo, V. M. Pérez-García, “Dissipative solutions that cannot be
| + | |
| - | trapped”, Phys. Rev. Lett. 97, (2006).
| + | |
| - | | + | |
| - | R. Dager, A. Presa, “Duality of the space of germs of harmonic vector
| + | |
| - | fields on a compact”, C.R. Acad. Sci. Paris, Serie I, 343 (1), 19-22,
| + | |
| - | (2006)
| + | |
| - | | + | |
| - | R. Dager, “Insensitizing controls for the 1-D wave equation”, SIAM
| + | |
| - | Journal on Control and Optimization 45, 1758-1768, (2006)
| + | |
| - | | + | |
| - | | + | |
| - | == Publicaciones 2007 ==
| + | |
| - | | + | |
| - | J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal "Bifurcation and stability
| + | |
| - | of equilibria with asymptotically linear boundary conditions at
| + | |
| - | infinity", Proc. of the Royal Society of Edinburgh A, Vol.137, Issue
| + | |
| - | 02, 225-252. (2007),
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal, R. Willie, “Nesting inertial manifolds of
| + | |
| - | reaction-diffusion equations and large diffusivity. Nonlinear Analisis
| + | |
| - | 67, 70-93 (2007)
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal, A. Vidal, “Existence, uniqueness and attractivity
| + | |
| - | properties of positive complete trajectories for non-autonomous
| + | |
| - | reaction-diffusion problems”, Disc. Cont. Dyn. Systems 18, 537--567,
| + | |
| - | (2007)
| + | |
| - | | + | |
| - | J.A. Langa, J.C. Robinson, A.Rodríguez-Bernal, A. Suárez, A. Vidal,
| + | |
| - | “Existence and non-existence of unbounded forward attractor for a
| + | |
| - | class of nonautonomous reaction diffusion equations”. Disc. Cont. Dyn.
| + | |
| - | Systems 18, 483—497, (2007)
| + | |
| - | | + | |
| - | J.M. Arrieta, S.M. Bruschi “Rapidly varying boundaries in equations
| + | |
| - | with nonlinear boundary conditions. The case of a Lipschitz
| + | |
| - | deformation”, Mathematical Models and Methods in Applied Sciences 17,
| + | |
| - | nº 10 (2007)
| + | |
| - | | + | |
| - | R. Ferreira, A. de Pablo y J. D. Rossi, “Blow-up with logarithmic
| + | |
| - | nonlinearities”, Journal Differential Equations 240, Issue 1, Pages
| + | |
| - | 196-215 (2007)
| + | |
| - | | + | |
| - | J.C. Robinson, A. Rodríguez-Bernal, A. Vidal-López, “Pullback
| + | |
| - | attractors and extremal complete trajectories for non-autonomous
| + | |
| - | reaction-diffusion problems”, Journal of Differential Equations 238,
| + | |
| - | 289-337 (2007)
| + | |
| - | | + | |
| - | U. Brauer, L. Karp, “Local existence of classical solutions of the
| + | |
| - | Einstein-Euler system using weighted Sobolev spaces of fractional
| + | |
| - | order”, Comptes Rendus Mathematique 345, pp 49-54 (2007)
| + | |
| - | | + | |
| - | J. A. Langa, J. C. Robinson, A. Suárez, A. Vidal-López, “The stability
| + | |
| - | of attractors for non-autonomous perturbation of gradient-like
| + | |
| - | systems”, Journal of Differential Equations 234, 605-627 (2007).
| + | |
| - | | + | |
| - | J. M. Arrieta and A. Rodríguez-Bernal, “Blow up versus global
| + | |
| - | boundedness of solutions of reaction diffusion equations with
| + | |
| - | nonlinear boundary conditions”, Proceedings of Equadiff 11, Editors:
| + | |
| - | M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and D.Sevcovic
| + | |
| - | (2007). pp 1-7
| + | |
| - | | + | |
| - | J. M. Arrieta, A. Jimenéz-Casas and A. Rodríguez-Bernal, “Robin type
| + | |
| - | conditions arising from concentrated potentials”, Proceedings of
| + | |
| - | Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved,
| + | |
| - | P.Quittner and D.Sevcovic (2007). pp 157-164
| + | |
| - | | + | |
| - | A. de Pablo, M. Pérez-Llanos and R. Ferreira, “Numerical blow-up for
| + | |
| - | the p-Laplacian equation with a nonlinear source” Proceedings of
| + | |
| - | Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved,
| + | |
| - | P.Quittner and D.Sevcovic (2007). pp 363-367
| + | |
| - | | + | |
| - | J. M. Arrieta, N. Moya, A. Rodríguez-Bernal, “Dissipative dynamics of
| + | |
| - | reaction diffusion equations in R^N” Proceedings of Equadiff 11,
| + | |
| - | Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved, P.Quittner and
| + | |
| - | D.Sevcovic (2007), pp 405-414.
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal and A. Vidal-López, “Extremal equilibria for
| + | |
| - | parabolic non-linear reaction-diffusion equations”, Proceedings of
| + | |
| - | Equadiff 11, Editors: M.Fila, A.Handlovicova, K.Mikula, M.Medved,
| + | |
| - | P.Quittner and D.Sevcovic (2007). pp 531-539
| + | |
| - | | + | |
| - | J.M. Arrieta, J.W. Cholewa, T. Dlotko and A. Rodríguez-Bernal,
| + | |
| - | "Dissipative parabolic equations in locally uniform spaces",
| + | |
| - | Mathematische Nachrichten 280, Issue 15 (2007)
| + | |
| - | | + | |
| - | | + | |
| - | == Aceptados para publicación ==
| + | |
| - | | + | |
| - | J.M. Arrieta, “On boundedness of solutions of reaction-diffusion
| + | |
| - | equations with nonlinear boundary conditions”, Proceedings of the
| + | |
| - | American Mathematical Society
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Rodríguez-Bernal, J. Rossi, "The best Sobolev trace
| + | |
| - | constant as limit of the usual Sobolev constant for small strips near
| + | |
| - | the boundary", Proceedings of the Royal Society of Edinburgh A,
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Jiménez-Casas and A. Rodríguez-Bernal, "Flux terms
| + | |
| - | and Robin boundary conditions as limit of reactions and potentials
| + | |
| - | concentrating in the boundary" Revista Matemática Iberoamericana
| + | |
| - | | + | |
| - | J.M. Arrieta, N. Moya, A. Rodríguez-Bernal, "On the finite dimension
| + | |
| - | of attractors of parabolic problems in $R^N$ with general
| + | |
| - | potentials", Nonlinear Analysis, Theory Methods and Appications
| + | |
| - | | + | |
| - | M. Bogoya, R. Ferreira, J.D. Rossi, “Neumann boundary conditions for a
| + | |
| - | nonlocal nonlinear diffusion operator. Continuous and discrete models”
| + | |
| - | Proceedings of the American Mathematical Society
| + | |
| - | | + | |
| - | M. Bogoya, R. Ferreira y J. D. Rossi, “A nonlocal nonlinear diffusion
| + | |
| - | equation with blowing up boundary conditions”, Journal of Mathematical
| + | |
| - | Analysis and Applications
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal, A. Vidal-López, “Semiestable extremal ground
| + | |
| - | states for nonlinear evolution equations in unbounded domains”,
| + | |
| - | Journal of Mathematical Analysis and Applications
| + | |
| - | | + | |
| - | A Jiménez Casas, “Invariant regions and global existence for a phase
| + | |
| - | field model”, Discrete and Cont. Dynam. Systems.
| + | |
| - |
| + | |
| - | A.Jiménez Casas, M. Castro Ponce, “Slow motion for a phase field
| + | |
| - | model” Mathematical Methods in the Applied Science.
| + | |
| - | | + | |
| - | Libros de investigación
| + | |
| - | | + | |
| - | R. Dager, E. Zuazua, “Wave propagation, observation and control of
| + | |
| - | 1-D flexible multi-structures”, Mathematiques et Applications 50,
| + | |
| - | Springer-Berlag Berlin (2006), x+221 pp. ISBN: 978-3-540-27239-9;
| + | |
| - | 3-540-27239-9
| + | |
| - | | + | |
| - | == Libros docentes ==
| + | |
| - | | + | |
| - | S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”, | + | |
| - | Editorial Síntesis. (En prensa) | + | |
| - | | + | |
| - | R. Rodríguez, E. Zuazua, “De la aritmética al análisis. Historia y | + | |
| - | desarrollo reciente en matemáticas” Ministerio de Educación y Ciencia. | + | |
| - | (ISBN: 84-369-3845-3). | + | |
| - | | + | |
| - | | + | |
| - | | + | |
| - | == Ponencias y Comunicaciones a Congresos ==
| + | |
| - | | + | |
| - | R. Ferreira | + | |
| - | Conferencia Invitada “The balance between nonlinear reaction and
| + | |
| - | absorption at the boundary”
| + | |
| - | Congreso IV Pan-American Workshop in Applied and Computacional
| + | |
| - | Mathematics, Cordoba (Argentina) (2002)
| + | |
| - | | + | |
| - | M. Negreanu,
| + | |
| - | Ponencia: “Multi-grid filtering method”
| + | |
| - | Congreso: International Conference HMS2000 Midterm Review Heidelberg,
| + | |
| - | Heidlberg Alemania (2002)
| + | |
| - | | + | |
| - | R. Ferreira
| + | |
| - | Conferencia Invitada: “ Quenching Phenomena for a very fast difusión
| + | |
| - | equation”.
| + | |
| - | Congreso: First Workshop on Elliptic and Parabolic Partial
| + | |
| - | Differential Equations, Santiago de Chile (Chile) (2003)
| + | |
| - | | + | |
| - | J. Arrieta, R. Pardo, A. Rodríguez-Bernal,
| + | |
| - | Ponencia: “Problemas Elipticos con condiciones de contorno
| + | |
| - | asintoticamente lineales en infinito”
| + | |
| - | Congreso: XVIII CEDYA, Tarragona (2003)
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Rodríguez-Bernal
| + | |
| - | Conferencia Invitada: “Non-well posedness of parabolic equations with
| + | |
| - | supercritical nonlinearities”
| + | |
| - | Congreso: EQUADIFF 2003, Hasselt Belgica, (2003)
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal,
| + | |
| - | Ponencia: “Flux Condition induced by concentrated reactions”
| + | |
| - | Congreso: EQUADIFF 2003, Hasselt Belgica, (2003)
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Rodríguez-Bernal
| + | |
| - | Ponencia: “Ecuaciones en derivadas parciales supercriticas y
| + | |
| - | problemas mal planteados”
| + | |
| - | Congreso: XVIII CEDYA, Tarragona (2003)
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Rodríguez-Bernal, A. Vidal-López
| + | |
| - | Ponencia: “Regiones atractoras delimitadas por puntos de equilibrio
| + | |
| - | extremales para ecuaciones de reacción-difusión”
| + | |
| - | Congreso: XVIII CEDYA, Tarragona (2003)
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal
| + | |
| - | Ponencia: “Condición de flujo no-homogénea como límite de reacciones
| + | |
| - | localizadas”
| + | |
| - | Congreso: XVIII CEDYA, Tarragona (2003)
| + | |
| - | | + | |
| - | Negreanu, E. Zuazua
| + | |
| - | Ponencia: “A 2-grid algorithm for the 1-D wave equation”
| + | |
| - | Congreso: International Conference Waves 2003, INRIA, Universidad de
| + | |
| - | Jyavaskyla, Finlandia (2003)
| + | |
| - | | + | |
| - | Negreanu, E. Zuazua
| + | |
| - | Ponencia: “Discrete inequalities”
| + | |
| - | Congreso: Intenational Conference “New trends in Continuum Mechanics”,
| + | |
| - | Universidad de Constanta, Rmanía (2003)
| + | |
| - | | + | |
| - | U. Brauer, L. Karp
| + | |
| - | Ponencia: “Existencia local de soluciones clásicas del sistema
| + | |
| - | Einstein-Euler usando espacios de Soboleve de orden fraccionario con
| + | |
| - | pesos”
| + | |
| - | Congreso: XVIII CEDYA, Tarragona (2003)
| + | |
| - | | + | |
| - | J. Arrieta
| + | |
| - | Conferencia Invitada: “Domain perturbation problems in Partial
| + | |
| - | Differential Equations”
| + | |
| - | Congreso: CNMAC’03, Sociedad Brasileira de Matemática Aplicada e
| + | |
| - | Computacional, Sao Jose de Rio Preto, Brasil (2003)
| + | |
| - | | + | |
| - | J. Arrieta
| + | |
| - | Ponencia: “Nonlinear Dynamics of Reaction-Diffusion equations under
| + | |
| - | perturbations”
| + | |
| - | Congreso: CNMAC’03, Sociedad Brasileira de Matemática Aplicada e
| + | |
| - | Computacional, Sao Jose de Rio Preto, Brasil (2003)
| + | |
| - | | + | |
| - | R. Ferreira
| + | |
| - | Conferencia Invitada: “Quenching Phenomena for a fast difusión
| + | |
| - | equation”.
| + | |
| - | Congreso: Workshop de Otoño en EDP's, Universidad Autónoma de Madrid
| + | |
| - | (2004)
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Rodríguez-Bernal
| + | |
| - | Ponencia: “Ill posed parabolic problems with supercritical
| + | |
| - | nonlinearities”
| + | |
| - | Congreso: “Fifth European Conference on Elliptic and Parabolic
| + | |
| - | Problems: A special tribute to the work of Haim Brezis”, Gaeta, Italia
| + | |
| - | (2004)
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal
| + | |
| - | Ponencia: “Parabolic equations in locally uniform spaces”
| + | |
| - | Congreso: “Nonlinear Elliptic and Parabolic Problems: A special
| + | |
| - | tribute to the work of Herbert Amann”, Zurich, Suiza (2004)
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal, A. Vidal-López
| + | |
| - | Ponencia: “Extremal equilibria and asymptotic behaviour Parabolic
| + | |
| - | equations in locally uniform spaces”
| + | |
| - | Congreso: “Nonlinear Elliptic and Parabolic Problems: A special
| + | |
| - | tribute to the work of Herbert Amann”, Zurich, Suiza (2004)
| + | |
| - | | + | |
| - | R. Ferreira,
| + | |
| - | Conferencia Invitada “The Interfaces of an Inhomogeneous Porous Médium
| + | |
| - | Equation with Convection”
| + | |
| - | Congreso: III Internacional Symposium on Nonlinear and Free Boundary
| + | |
| - | Problems, U. de Buenos Aires (Argentina) (2005)
| + | |
| - | | + | |
| - | J.Arrieta, R. Pardo, A. Rodríguez-Bernal
| + | |
| - | Ponencia:
| + | |
| - | Congreso: XIX CEDYA, Leganés, Madrid (2005)
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Rodríguez-Bernal
| + | |
| - | Conferencia Invitada: “Blow-up in reaction diffusion equations with
| + | |
| - | nonlinear boundary conditions”
| + | |
| - | Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)
| + | |
| - | | + | |
| - | J.M. Arrieta, N. Moya, A. Rodríguez-Bernal
| + | |
| - | Ponencia: “Dissipative dynamics of reaction diffusion equations in Rn”
| + | |
| - | Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal
| + | |
| - | Ponencia: “Robin type conditions arising from concentrated potentials”
| + | |
| - | Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal, A. Vidal-López
| + | |
| - | Ponencia: “Extremal Equilibria for parabolic nonlinear
| + | |
| - | reaction-diffusion equations”
| + | |
| - | Congeso “Equadiff 2005”, Bratislava, Eslovakia (2005)
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal, A. Vidal-López
| + | |
| - | Ponencia: “Asymptotic behavior of nonautonomous reaction-diffusion
| + | |
| - | equations”
| + | |
| - | Congreso: “PDE's, Optimal Design and Numerics”, Centro de Ciencias de
| + | |
| - | Benasque, Huesca (2005)
| + | |
| - | | + | |
| - | A. Rodríguez-Beranal, A. Vidal-López
| + | |
| - | Ponencia: “Comportamiento asintótico de soluciones positivas de
| + | |
| - | ecuaciones de reacción-difusión no autónomas”
| + | |
| - | Congreso. “XIX CEDYA”, Leganés, Madrid (2005)
| + | |
| - | | + | |
| - | J.M. Arrieta, R. Pardo, A. Rodríguez-Bernal
| + | |
| - | Ponencia: “Ramas no acotadas de soluciones estables en problemas
| + | |
| - | elípticos con condiciones de frontera asintóticamente lineales”
| + | |
| - | Congreso: XIX CEDYA, Leganés, Madrid (2005)
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal, A. Vidal-López
| + | |
| - | Ponencia: “Trayectorias Completas extremales para ecuaciones de
| + | |
| - | reacción-diffusión no autónomas” Congreso: XIX CEDYA, Leganés, Madrid
| + | |
| - | (2005)
| + | |
| - | | + | |
| - | J.M. Arrieta, A. Jiménez-Casas, A. Rodríguez-Bernal | + | |
| - | Ponencia: “Condiciones de Robin provenientes de potenciales
| + | |
| - | concentrados”
| + | |
| - | Congeso “XIX CEDYA”, Leganés, Madrid (2005)
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal, A. Vidal-López
| + | |
| - | Ponencia: “Extremal complete trajectories for non-autonomous logistic
| + | |
| - | equations I: existence”
| + | |
| - | Congreso: “International Conference on non-autonomous and Stochastic
| + | |
| - | Dynamical Systems”, Sevila (2005)
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal, A. Vidal-López
| + | |
| - | Ponencia: “Extremal complete trajectories for non-autonomous logistic
| + | |
| - | equations II: uniqueness of positive solutions and stability
| + | |
| - | properties”
| + | |
| - | Congreso: “International Conference on non-autonomous and Stochastic
| + | |
| - | Dynamical Systems”, Sevila (2005)
| + | |
| - | | + | |
| - | A. Rodríguez-Bernal, A. Vidal-López
| + | |
| - | Ponencia: “Foward asymptotic behavior of positivie sulutions in a
| + | |
| - | non-autonomous logistic equation”
| + | |
| - | Congreso: “International Conference on non-autonomous and Stochastic
| + | |
| - | Dynamical Systems”, Sevila (2005)
| + | |
| - | | + | |
| - | Negreanu, E. Zuazua
| + | |
| - | Ponencia: “Uniform Observability of the wave equation via a discrete
| + | |
| - | ingham inequality”
| + | |
| - | Congreso: IEEE Conference on Decision and Control and European Control
| + | |
| - | Conference ECC 2005,
| + | |
| - | Universidad de Sevilla, (2005)
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| - | | + | |
| - | Negreanu, E. Zuazua
| + | |
| - | Ponencia: “Convergence of a multi-grid algorithm for the
| + | |
| - | controllability of the wave equation”
| + | |
| - | Congreso: IEEE Conference on Decision and Control and European Control
| + | |
| - | Conference ECC 2005,
| + | |
| - | Universidad de Sevilla, (2005)
| + | |
| - | | + | |
| - | U. Brauer, G. Nagy
| + | |
| - | Ponencia: “Buen planteamienteo de las ecuaciones de Euler compresibles
| + | |
| - | linealizadas con frontera libre y autogravitación”
| + | |
| - | Congreso: XIX CEDYA, Leganes, Madrid (2005)
| + | |
| - | | + | |
| - | J. Arrieta, S. Bruschi
| + | |
| - | Ponencia: “Problemas de valor de fronteira em domínios com oscilaçōes
| + | |
| - | na fronteira",
| + | |
| - | Congreso: Seminario Brasileiro de Análise, Edición nº 62, Río de
| + | |
| - | Janeiro, Brasil, Noviembre (2005),
| + | |
| - | | + | |
| - | J. Arrieta, K. Mischaikow
| + | |
| - | Ponencia: “Estados de coexistencia con difusión pequeña”
| + | |
| - | Congreso XIX CEDYA, Leganés, Madrid (2005)
| + | |
| - | | + | |
| - | J. Arrieta
| + | |
| - | Conferencia Invitada: “Asymptotic behavior at the boundary of
| + | |
| - | solutions of reaction-diffusion equations with nonlinear boundary
| + | |
| - | conditions “
| + | |
| - | Congreso: “ICMC Summer Meeting in Differential Equations” 2006
| + | |
| - | Chapter. Congreso en memoria de D. Henry, Universidade de Sao Paulo,
| + | |
| - | (2006) | + | |
| - | | + | |
| - | R.Ferreira
| + | |
| - | Conferencia Invitada “Explosión para una ecuación de difusión con
| + | |
| - | reacción localizada”
| + | |
| - | Congreso: Primer encuentro de ecuaciones en derivadas parciales, U.
| + | |
| - | de la Laguna (2006)
| + | |
| - |
| + | |
| - | R.Pardo
| + | |
| - | Conferencia Invitada “ Problemas elípticos con condiciones de
| + | |
| - | contorno sublineales en infinito: estabilidad y monotonía de ramas de
| + | |
| - | soluciones no acotadas. ”
| + | |
| - | Congreso: Primer encuentro de ecuaciones en derivadas parciales, U.
| + | |
| - | de la Laguna (2006)
| + | |
| - | | + | |
| - | A.Rodríguez y A. Vidal
| + | |
| - | Conferencia invitada: “Extremal equilibria for parabolic equations and
| + | |
| - | applications”.
| + | |
| - | Congreso: “6th AIMS International Conference on Dyn. Systems, Diff.
| + | |
| - | Equations and Applications”, Poitiers (Francia). Junio 2006.
| + | |
| - | Universidad de Poitiers y American Institute of Mathematical Sciences
| + | |
| - | (AIMS).
| + | |
| - | | + | |
| - | A. Rodríguez
| + | |
| - | Conferencia Invitada, “Blow-up and ill posed problems”
| + | |
| - | Congreso: Second Euro Japanese Workshop on Blow-up, El Escorial,
| + | |
| - | Septiembre (2006)
| + | |
| - | | + | |
| - | J. Arrieta
| + | |
| - | Conferencia Invitada. “Dynamics of evolutionary equations under
| + | |
| - | perturbations of the domain”
| + | |
| - | Jornada: “Jornada Científica sobre Ecuaciones Deterministas y
| + | |
| - | Estocásticas”, Universidad de Sevilla Noviembre 2006
| + | |
| - | | + | |
| - | J. Arrieta
| + | |
| - | Conferencia Invitada. “Asymptotics for the spectra in dumbbell
| + | |
| - | domains”
| + | |
| - | Jornada: “On spectral perturbation problems and homogenization”,
| + | |
| - | Universidad de Cantabria Diciembre 2006
| + | |
| - | | + | |
| - | J. Arrieta
| + | |
| - | Conferencia Invitada: “Equations with nonlinear boundary conditions in
| + | |
| - | domains with rapidly oscillating boundaries”
| + | |
| - | Congreso: “Partial Differential Equations, Optimal Design and Numerics
| + | |
| - | 2007”, Benasque, Huesca.
| + | |
| - | 28 Agosto- 7 de septiembre 2007
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Última versión de 12:25 20 jun 2022
Publications in peer reviewed journals
Publications before 2017
Publications before 2017 Seminarios
Year 2017
- Ferreira, Raúl; Pérez-Llanos, Mayte A nonlocal operator breaking the Keller-Osserman condition. Adv. Nonlinear Stud. 17 (2017), no. 4, 715–725.
- Mavinga, Nsoki; Pardo, Rosa Bifurcation from infinity for reaction-diffusion equations under nonlinear boundary conditions. Proc. Roy. Soc. Edinburgh Sect. A 147 (2017), no. 3, 649–671.
- Castro, Alfonso; Pardo, Rosa Infinitely many stability switches in a problem with sublinear oscillatory boundary conditions. J. Dynam. Differential Equations 29 (2017), no. 2, 485–499.
- Castro, Alfonso; Pardo, Rosa A priori estimates for positive solutions to subcritical elliptic problems in a class of non-convex regions. Discrete Contin. Dyn. Syst. Ser. B 22 (2017), no. 3, 783–790.
- Mavinga, N.; Pardo, R. A priori bounds and existence of positive solutions for semilinear elliptic systems. J. Math. Anal. Appl. 449 (2017), no. 2, 1172–1188
- Arrieta, José M.; Ferraresso, Francesco; Lamberti, Pier Domenico Spectral analysis of the biharmonic operator subject to Neumann boundary conditions on dumbbell domains. Integral Equations Operator Theory 89 (2017), no. 3, 377–408.
- Arrieta, José M.; Santamaría, Esperanza Distance of attractors of reaction-diffusion equations in thin domains. J. Differential Equations 263 (2017), no. 9, 5459–5506.
- Arrieta, José M.; Lamberti, Pier Domenico Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems. J. Differential Equations 263 (2017), no. 7, 4222–4266.
- Arrieta, José M.; Villanueva-Pesqueira, Manuel Thin domains with non-smooth periodic oscillatory boundaries. J. Math. Anal. Appl. 446 (2017), no. 1, 130–164.
- Cholewa, Jan W.; Quesada, Carlos; Rodríguez-Bernal, Aníbal Nonlinear evolution equations in scales of Banach spaces and applications to PDEs. J. Abstr. Differ. Equ. Appl. 8 (2017), no. 2, 1–69.
- Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal Some general models of traffic flow in an isolated network. Math. Methods Appl. Sci. 40 (2017), no. 11, 3982–4000.
- Rodríguez-Bernal, Aníbal The heat equation with general periodic boundary conditions. Potential Anal. 46 (2017), no. 2, 295–321.
- Quesada, Carlos; Rodríguez-Bernal, Aníbal Second order linear parabolic equations in uniform spaces in RN. Rev. Mat. Complut. 30 (2017), no. 1, 63–78.
- Cholewa, Jan W.; Rodriguez-Bernal, Anibal Linear higher order parabolic problems in locally uniform Lebesgue's spaces. J. Math. Anal. Appl. 449 (2017), no. 1, 1–45.
- Sastre-Gomez, Silvia Equivalent formulations for steady periodic water waves of fixed mean-depth with discontinuous vorticity. Discrete Contin. Dyn. Syst. 37 (2017), no. 5, 2669–2680.
- Jiménez-Casas, Ángela Asymptotic Behaviour of the Nonlinear Dynamical System Governing a Thermosyphon Model. Chaotic Modeling and Simulation (CMSIM).
Year 2018
- 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.
- Ferreira, Raul Blow-up for a semilinear heat equation with moving nonlinear reaction. Electron. J. Differential Equations 2018, Paper No. 32, 11 pp.
- Damascelli, Lucio; Pardo, Rosa A priori estimates for some elliptic equations involving the p-Laplacian. Nonlinear Anal. Real World Appl. 41 (2018), 475–496
- Arrieta, José M.; Santamaría, Esperanza C1,θ-estimates on the distance of inertial manifolds. Collect. Math. 69 (2018), no. 3, 315–336. 35K90 (35B42)
- 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.
- 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.
- 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
- Jiménez-Casas, Ángela Asymptotic Behaviour of a Viscoelastic Thermosyphon Model.Chaotic Modeling and Simulation (CMSIM).
- 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.
Year 2019
- 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
- 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)
- 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.
- Ferreira, Raúl Blow-up for a semilinear non-local diffusion system. Nonlinear Anal. 189, 12 pp.
- 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
- 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
- Pardo, R., & Sanjuán, A., Asymptotic behavior of positive radial solutions to elliptic equations approaching critical growth, Electron. J. Differential Equations, (), 114–17 (2020).
- 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
- 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
- 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
- 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
- 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
Year 2021
- 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
- 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
- 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
- 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
- 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
- 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.
- 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
- 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
- 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
- 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
Accepted for publication
- 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
- J.M. Arrieta, A.N. Carvalho, E. Moreira, J. Valero, "Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem", Submitted
Books
- S. Rodríguez Salazar, “Matemáticas para estudiantes de químicas”, Editorial Síntesis. 2007
- R. Rodríguez, E. Zuazua, “De la aritmética al análisis. Historia y desarrollo reciente en matemáticas” Ministerio de Educación y Ciencia. (ISBN: 84-369-3845-3).
- 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)
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