A. Rodríguez-Bernal

发表

Parabolic singular limit of a wave equation with localized boundary damping

Enrique Zuazua, Aníbal Rodríguez-Bernal, E. Zuazua, 1995 .

Attractors for Parabolic Problems with Nonlinear Boundary Conditions

S. Oliva, A. Rodríguez-Bernal, Antonio L Pereira, 1997 .

Optimal existence classes and nonlinear-like dynamics in the linear heat equation in Rd

James C. Robinson, A. Rodríguez-Bernal, 2018 .

Existence, uniqueness and attractivity properties of positive complete trajectories for non-autonomous reaction-diffusion problems

Aníbal Rodríguez-Bernal, Alejandro Vidal–López, A. Rodríguez-Bernal, 2007 .

On the long time behavior of non-autonomous Lotka-Volterra models with diffusion via the sub-supertrajectory method

J. Langa, A. Rodríguez-Bernal, A. Suárez, 2010 .

The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model

J. Langa, A. Rodríguez-Bernal, A. Suárez, 2010 .

On a singularly perturbed wave equation with dynamic boundary conditions

Aníbal Rodríguez-Bernal, Luminiţa Popescu, A. Rodríguez-Bernal, 2004, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Localization on the Boundary of Blow-up for Reaction–Diffusion Equations with Nonlinear Boundary Conditions

A. Rodríguez-Bernal, J. M. Arrieta, 2004 .

Blow up versus global boundedness of solutions of reaction diffusion equations with nonlinear boundary conditions

A. Rodríguez-Bernal, J. M. Arrieta, 2007 .

PDE problems with concentrating terms near the boundary

A. Rodríguez-Bernal, Á. Jiménez‐Casas, 2020, Communications on Pure & Applied Analysis.

Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary

A. Rodríguez-Bernal, Á. Jiménez‐Casas, Madrid Spain Alberto Aguilera, 2019, Discrete & Continuous Dynamical Systems - A.

Well posedness and asymptotic behavior of supercritical reaction-diffusion equations with nonlinear boundary conditions

A. Rodríguez-Bernal, Alejandro Vidal-L'opez, 2016 .

The Heat Equaton with General Periodic Boundary Conditions

A. Rodríguez-Bernal, 2016, Potential Analysis.

Continuity of Dynamical Structures for Nonautonomous Evolution Equations Under Singular Perturbations

A. Carvalho, J. Langa, A. Rodríguez-Bernal, 2012, Journal of Dynamics and Differential Equations.

A singular perturbation in a linear parabolic equation with terms concentrating on the boundary

A. Rodríguez-Bernal, 2011, Revista Matemática Complutense.

Linear Non-Autonomous Heat Flow in L 10 ( R d ) and Applications to Elliptic Equations in R d

A. Rodríguez-Bernal, J. C. Robinson, 2022 .

Smoothing and perturbation for some fourth order linear parabolic equations in R-N

A. Rodríguez-Bernal, Carlos Quesada, 2014 .

Estimates for the Heat Flow in Optimal Spaces of Unbounded Initial Data in R d and Applications to the Ornstein–Uhlenbeck Semigroup

A. Rodríguez-Bernal, J. C. Robinson, 2023 .

The heat flow in an optimal Fréchet space of unbounded initial data in Rd

James C. Robinson, A. Rodríguez-Bernal, 2020, Journal of Differential Equations.

LINEAR PARABOLIC EQUATIONS IN LOCALLY UNIFORM SPACES

J. Cholewa, A. Rodríguez-Bernal, J. M. Arrieta, 2004 .

Sharp estimates for homogeneous semigroups in homogeneous spaces. Applications to PDEs and fractional diffusion in ℝN

J. Cholewa, A. Rodríguez-Bernal, 2020 .

Interaction of localized large diffusion and boundary conditions

A. Rodríguez-Bernal, Alejandro Vidal-L'opez, 2019, Journal of Differential Equations.

Linear higher order parabolic problems in locally uniform Lebesgue's spaces

J. Cholewa, A. Rodríguez-Bernal, 2017 .

The Heat Equaton with General Periodic Boundary Conditions

A. Rodríguez-Bernal, 2017 .

Second order linear parabolic equations in uniform spaces in $${\varvec{\mathbb {R}^{N}}}$$RN

A. Rodríguez-Bernal, Carlos Quesada, 2017 .

Perturbation of Analytic Semigroups in Uniform Spaces in $$\mathbb{R}^{N}$$

A. Rodríguez-Bernal, Carlos Quesada, 2014 .

Linear and semilinear higher order parabolic equations in RN

J. Cholewa, A. Rodríguez-Bernal, 2012 .

Perturbation of analytic semigroups in scales of Banach spaces and applications to linear parabolic equations with low regularity data

A. Rodríguez-Bernal, 2011 .

Extremal equilibria for reaction-diffusion equations in bounded domains and applications ✩

A. Rodríguez-Bernal, Alejandro Vidal-L'opez, 2008 .

Dissipative parabolic equations in locally uniform spaces

J. Cholewa, A. Rodríguez-Bernal, J. M. Arrieta, 2007 .

Pullback attractors and extremal complete trajectories for non-autonomous reaction–diffusion problems

James C. Robinson, Aníbal Rodríguez-Bernal, Alejandro Vidal-López, 2007 .

MA-UCM 2006-14 FLUX TERMS AND ROBIN BOUNDARY CONDITIONS AS LIMIT OF REACTIONS AND POTENTIALS CONCENTRATING IN THE BOUNDARY

A. Rodríguez-Bernal, J. M. Arrieta, Á. Jiménez‐Casas, 2006 .

Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains

J. Cholewa, A. Rodríguez-Bernal, J. M. Arrieta, 2004 .

Parabolic problems with nonlinear boundary conditions and critical nonlinearities

A. Carvalho, A. Rodríguez-Bernal, J. M. Arrieta, 1999 .

Nonlinear nonlocal reaction-diffusion problem with local reaction

A. Rodríguez-Bernal, Silvia Sastre‐Gomez, 2021, Discrete & Continuous Dynamical Systems.

Linear non-local diffusion problems in metric measure spaces

A. Rodríguez-Bernal, Silvia Sastre‐Gomez, 2014, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Dynamics of a Reaction-diffusion equation with a Discontinuous Nonlinearity

José Valero, José M. Arrieta, Aníbal Rodríguez-Bernal, 2006, Int. J. Bifurc. Chaos.

Attractors for Partly Dissipative Reaction Diffusion Systems in Rn

A. Rodríguez-Bernal, Bixiang Wang, 2000 .

Infinite Resonant Solutions and Turning Points in a Problem with Unbounded bifurcation

José M. Arrieta, Aníbal Rodríguez-Bernal, R. Pardo, 2010, Int. J. Bifurc. Chaos.

Equilibria and global dynamics of a problem with bifurcation from infinity

A. Rodríguez-Bernal, J. M. Arrieta, R. Pardo, 2009 .

Some general models of traffic flow in an isolated network

Aníbal Rodríguez-Bernal, Ángela Jiménez-Casas, A. Rodríguez-Bernal, 2017 .

Extremal equilibria for monotone semigroups in ordered spaces with application to evolutionary equations

J. Cholewa, A. Rodríguez-Bernal, 2010 .

On some PDEs involving homogeneous operators. Spectral analysis, semigroups and Hardy inequalities

J. Cholewa, A. Rodríguez-Bernal, 2022, Journal of Differential Equations.

Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena

P. Souplet, A. Rodríguez-Bernal, J. M. Arrieta, 2004 .

J. Cholewa, A. Rodríguez-Bernal, 2023, Journal of Evolution Equations.

A singular perturbation in a linear parabolic equation with terms concentrating on the boundary

A. Rodríguez-Bernal, 2012 .

Initial value problem and asymptotic low dimensional behavior in the Kuramoto-Velarde equation

Aníbal Rodríguez-Bernal, A. Rodríguez-Bernal, 1992 .

Attractors for Parabolic Equations with Nonlinear Boundary Conditions, Critical Exponents, and Singular Initial Data

A. Rodríguez-Bernal, 2002 .

Complete and energy blow-up in parabolic problems with nonlinear boundary conditions

P. Quittner, A. Rodríguez-Bernal, 2005 .

Dynamics of reaction diffusion equations under nonlinear boundary conditions

A. Rodríguez-Bernal, A. Tajdine, 2000 .

Reduction of dimension of approximate intertial manifolds by symmetry

A. Rodríguez-Bernal, Bixiang Wang, 1999, Bulletin of the Australian Mathematical Society.

Diffusion Induced Chaos in a Closed Loop Thermosyphon

Erik S. Van Vleck, Aníbal Rodríguez-Bernal, E. Vleck, 1998, SIAM J. Appl. Math..

Finite‐dimensional asymptotic behavior in a thermosyphon including the Soret effect

A. Rodríguez-Bernal, Á. Jiménez‐Casas, 1999 .

Nonlinear Balance for Reaction-Diffusion Equations under Nonlinear Boundary Conditions: Dissipativity and Blow-up

A. Rodríguez-Bernal, A. Tajdine, 2001 .

Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds

A. Carvalho, A. Rodríguez-Bernal, J. M. Arrieta, 2000 .

Stable boundary layers in a diffusion problem with nonlinear reaction at the boundary

A. Rodríguez-Bernal, J. M. Arrieta, N. Cónsul, 2004 .

Bifurcation and stability of equilibria with asymptotically linear boundary conditions at infinity

A. Rodríguez-Bernal, J. M. Arrieta, R. Pardo, 2007, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

NON WELL POSEDNESS OF PARABOLIC EQUATIONS WITH SUPERCRITICAL NONLINEARITIES

A. Rodríguez-Bernal, J. M. Arrieta, 2004 .

Extremal Equilibria and Asymptotic Behavior of Parabolic Nonlinear Reaction-diffusion Equations

A. Rodríguez-Bernal, Alejandro Vidal-Lápez, 2005 .

Asymptotic behavior of degenerate logistic equations

A. Rodríguez-Bernal, J. M. Arrieta, R. Pardo, 2015 .

Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations

José A. Langa, James C. Robinson, Aníbal Rodríguez-Bernal, 2007 .

On the long time behaviour of non-autonomous Lotka-Volterra models with diffusion via the sub-super trajectory method

J. Langa, A. Rodríguez-Bernal, A. Suárez, 2009 .

Critical and supercritical higher order parabolic problems in RN

J. Cholewa, A. Rodríguez-Bernal, 2014 .

On the finite dimension of attractors of parabolic problems in RN with general potentials

A. Rodríguez-Bernal, J. M. Arrieta, Nancy Moya, 2008 .

DISSIPATIVE DYNAMICS OF REACTION DIFFUSION EQUATIONS IN R

A. Rodríguez-Bernal, Nancy Moya, 2007 .

On the Cahn-Hilliard equation in H 1 (R N )

J. Cholewa, A. Rodríguez-Bernal, 2012 .

On the construction of inertial methods under symmetry constraints: I. abstract results

A. Rodríguez-Bernal, 1992 .

Upper Semicontinuity for Attractors of Parabolic Problems with Localized Large Diffusion and Nonlinear Boundary Conditions

A. Carvalho, A. Rodríguez-Bernal, J. M. Arrieta, 2000 .

Localized spatial homogenization and large diffusion

A. Rodríguez-Bernal, 1998 .

Parabolic problems with nonlinear dynamical boundary conditions and singular initial data

P. Quittner, A. Rodríguez-Bernal, J. M. Arrieta, 2001, Differential and Integral Equations.

Perturbation of the diffusion and upper semicontinuity of attractors

A. Carvalho, A. Rodríguez-Bernal, J. M. Arrieta, 1999 .

Continuity of Dynamical Structures for Nonautonomous Evolution Equations Under Singular Perturbations

A. Carvalho, J. Langa, A. Rodríguez-Bernal, 2012 .

Asymptotic behavior of a parabolic problem with terms concentrated in the boundary

A. Rodríguez-Bernal, Á. Jiménez‐Casas, 2009 .