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Rodríguez-Bernal, Aníbal

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Author ID: rodriguez-bernal.anibal Recent zbMATH articles by "Rodríguez-Bernal, Aníbal"
Published as: Rodríguez-Bernal, Aníbal; Rodriguez-Bernal, Anibal; Rodríguez-Bernal, A.; Rodríguez-Bernal, Anibal; Rodriguez-Bernal, A.; Rodriguez-Bernal, Aníbal; Rodgriguez-Bernal, Aníbal; Rodriguez Bernal, Anibal; Rodríquez-Bernal, Anibal; Rodríguez Bernal, A.
External Links: ORCID
Documents Indexed: 99 Publications since 1990
all top 5

Serials

13 Journal of Differential Equations
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Journal of Mathematical Analysis and Applications
7 Discrete and Continuous Dynamical Systems
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Mathematical Methods in the Applied Sciences
3 Revista Matemática Complutense
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Communications in Partial Differential Equations
2 SIAM Journal on Mathematical Analysis
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Communications in Contemporary Mathematics
2 Communications on Pure and Applied Analysis
2 Dynamics of Partial Differential Equations
2 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA
2 Nonlinear Analysis. Theory, Methods & Applications
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Advances in Mathematics
1 Mathematische Nachrichten
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Differential and Integral Equations
1 Mathematica Bohemica
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Applied Mathematics
1 Potential Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 Discrete and Continuous Dynamical Systems. Series B
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Journal of Abstract Differential Equations and Applications (JADEA)
1 S\(\vec{\text{e}}\)MA Journal

Publications by Year

Citations contained in zbMATH Open

79 Publications have been cited 794 times in 451 Documents Cited by Year
Attractors of parabolic problems with nonlinear boundary conditions. Uniform bounds. Zbl 0953.35021
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Aníbal
64
2000
Parabolic problems with nonlinear boundary conditions and critical nonlinearities. Zbl 0938.35077
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Anibal
61
1999
Linear parabolic equations in locally uniform spaces. Zbl 1058.35076
Arrieta, Jose M.; Rodriguez-Bernal, Anibal; Cholewa, Jan W.; Dlotko, Tomasz
46
2004
Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: Dissipativity and blow-up. Zbl 0999.35047
Rodríguez-Bernal, Aníbal; Tajdine, Anas
45
2001
Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains. Zbl 1058.35102
Arrieta, José M.; Cholewa, Jan W.; Dłotko, Tomasz; Rodríguez-Bernal, Aníbal
43
2004
Attractors for partly dissipative reaction diffusion systems in \(\mathbb{R}^n\). Zbl 0977.35028
Rodriguez-Bernal, Anibal; Wang, Bixiang
35
2000
Upper semicontinuity for attractors of parabolic problems with localized large diffusion and nonlinear boundary conditions. Zbl 0963.35024
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Aníbal
26
2000
Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity. Zbl 1185.37161
Arrieta, José M.; Rodríguez-Bernal, Aníbal; Valero, José
25
2006
Attractors for parabolic problems with nonlinear boundary conditions. Zbl 0876.35059
Carvalho, Alexandre N.; Oliva, Sergio M.; Pereira, Antônio L.; Rodgriguez-Bernal, Aníbal
22
1997
Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary. Zbl 1162.35021
Arrieta, José M.; Jiménez-Casas, Angela; Rodríguez-Bernal, Anibal
22
2008
Attractors for parabolic equations with nonlinear boundary conditions, critical exponents, and singular initial data. Zbl 1042.35006
Rodríguez-Bernal, Aníbal
21
2002
Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena. Zbl 1072.35098
Rodriguez-Bernal, Anibal; Arrieta, José M.; Souplet, Philippe
18
2004
Parabolic problems with nonlinear dynamical boundary conditions and singular initial data. Zbl 1018.35047
Arrieta, José M.; Quittner, Pavol; Rodríguez-Bernal, Aníbal
16
2001
Extremal equilibria for reaction-diffusion equations in bounded domains and applications. Zbl 1162.35044
Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro
16
2008
Pullback attractors and extremal complete trajectories for non-autonomous reaction-diffusion problems. Zbl 1137.35009
Robinson, James C.; Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro
15
2007
Localization on the boundary of blow up for reaction-diffusion equations with nonlinear boundary conditions. Zbl 1058.35119
Arrieta, José M.; Rodríguez-Bernal, Aníbal
15
2004
Inertial manifolds for dissipative semiflows in Banach spaces. Zbl 0678.35006
Rodriguez Bernal, Anibal
13
1990
Localized spatial homogenization and large diffusion. Zbl 0915.35009
Rodríguez-Bernal, Aníbal
12
1998
Bifurcation and stability of equilibria with asymptotically linear boundary conditions at infinity. Zbl 1202.35119
Arrieta, José M.; Pardo, Rosa; Rodríquez-Bernal, Anibal
12
2007
On the long time behavior of non-autonomous Lotka-Volterra models with diffusion via the sub-supertrajectory method. Zbl 1195.35178
Langa, José A.; Rodríguez-Bernal, Aníbal; Suárez, Antonio
12
2010
Dissipative parabolic equations in locally uniform spaces. Zbl 1146.35015
Arrieta, J. M.; Cholewa, J. W.; Dlotko, Tomasz; Rodríguez-Bernal, A.
12
2007
Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations. Zbl 1126.37008
Langa, J. A.; Robinson, J. C.; Rodríguez-Bernal, A.; Suárez, A.; Vidal-López, A.
11
2007
Equilibria and global dynamics of a problem with bifurcation from infinity. Zbl 1195.35040
Arrieta, José M.; Pardo, Rosa; Rodríguez-Bernal, Anibal
10
2009
Existence, uniqueness and attractivity properties of positive complete trajectories for non-autonomous reaction-diffusion problems. Zbl 1155.35392
Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro
10
2007
Permanence and asymptotically stable complete trajectories for nonautonomous Lotka-Volterra models with diffusion. Zbl 1185.35119
Langa, José A.; Robinson, James C.; Rodríguez-Bernal, Aníbal; Suárez, Antonio
10
2009
Singular limit for a nonlinear parabolic equation with terms concentrating on the boundary. Zbl 1219.35019
Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal
10
2011
Parabolic singular limit of a wave equation with localized boundary damping. Zbl 0891.35075
Rodríguez-Bernal, Aníbal; Zuazua, Enrique
9
1995
Extremal equilibria for monotone semigroups in ordered spaces with application to evolutionary equations. Zbl 1209.37024
Cholewa, Jan W.; Rodriguez-Bernal, Anibal
9
2010
Non well posedness of parabolic equations with supercritical nonlinearities. Zbl 1203.35131
Arrieta, José M.; Rodríguez-Bernal, Aníbal
9
2004
Linear and semilinear higher order parabolic equations in \(\mathbb R^N\). Zbl 1228.35123
Cholewa, Jan W.; Rodriguez-Bernal, Anibal
8
2012
Asymptotic behaviour for a phase field model in higher order Sobolev spaces. Zbl 1009.35011
Jiménez-Casas, A.; Rodríguez-Bernal, A.
8
2002
The best Sobolev trace constant as limit of the usual Sobolev constant for small strips near the boundary. Zbl 1228.46027
Arrieta, José M.; Rodríguez-Bernal, Aníbal; Rossi, J. D.
7
2008
On a singularly perturbed wave equation with dynamic boundary conditions. Zbl 1058.35020
Popescu, Luminiţa; Rodriguez-Bernal, Aníbal
7
2004
Singular large diffusivity and spatial homogenization in a non homogeneous linear parabolic problem. Zbl 1071.35018
Rodríguez-Bernal, Aníbal; Willie, Robert
7
2005
Perturbation of analytic semigroups in scales of Banach spaces and applications to linear parabolic equations with low regularity data. Zbl 1242.47034
Rodríguez-Bernal, A.
7
2011
Linear non-local diffusion problems in metric measure spaces. Zbl 1357.45009
Rodríguez-Bernal, Aníbal; Sastre-Gómez, Silvia
6
2016
Asymptotic behaviour of time-dependent Ginzburg-Landau equations of superconductivity. Zbl 1099.35533
Rodriguez-Bernal, Anibal; Wang, Bixiang; Willie, Robert
6
1999
Extremal equilibria for dissipative parabolic equations in locally uniform spaces. Zbl 1195.35175
Cholewa, Jan W.; Rodríguez-Bernal, Aníbal
6
2009
Dissipative mechanism of a semilinear higher order parabolic equation in \(\mathbb R^N\). Zbl 1242.35055
Cholewa, Jan W.; Rodriguez-Bernal, Anibal
6
2012
Diffusion induced chaos in a closed loop thermosyphon. Zbl 0913.35080
Rodríguez-Bernal, Aníbal; Van Vleck, Erik S.
5
1998
Critical nonlinearities at the boundary. Zbl 0915.35058
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Aníbal
5
1998
On the Cahn-Hilliard equation in \(H^1(\mathbb R^N)\). Zbl 1256.35133
Cholewa, Jan W.; Rodriguez-Bernal, Anibal
5
2012
Complete and energy blow-up in parabolic problems with nonlinear boundary conditions. Zbl 1074.35060
Quittner, Pavol; Rodríguez-Bernal, Aníbal
5
2005
Stable boundary layers in a diffusion problem with nonlinear reaction at the boundary. Zbl 1077.35064
Arrieta, José M.; Cónsul, Neus; Rodríguez-Bernal, Aníbal
5
2004
Semistable extremal ground states for nonlinear evolution equations in unbounded domains. Zbl 1139.35063
Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro
5
2008
Asymptotic behavior of a parabolic problem with terms concentrated in the boundary. Zbl 1239.35027
Jiménez-Casas, Angela; Rodríguez-Bernal, Aníbal
5
2009
Smoothing and perturbation for some fourth order linear parabolic equations in \(\mathbb R^N\). Zbl 06420144
Quesada, Carlos; Rodríguez-Bernal, Aníbal
4
2014
Complex oscillations in a closed thermosyphon. Zbl 1004.34035
Rodríguez-Bernal, Aníbal; Van Vleck, Erik S.
4
1998
Perturbation of the diffusion and upper semicontinuity of attractors. Zbl 0948.37056
Arrieta, J. M.; Carvalho, A. N.; Rodríguez-Bernal, A.
4
1999
Attractors and inertial manifolds for the dynamics of a closed thermosyphon. Zbl 0854.76088
Rodríguez-Bernal, Aníbal
4
1995
A singular perturbation in a linear parabolic equation with terms concentrating on the boundary. Zbl 1284.35044
Rodríguez-Bernal, Aníbal
4
2012
Finite-dimensional asymptotic behavior in a thermosyphon including the Soret effect. Zbl 0926.35020
Jiménez-Casas, A.; Rodriguez-Bernal, A.
3
1999
Nesting inertial manifolds for reaction and diffusion equations with large diffusivity. Zbl 1119.35008
Rodríguez Bernal, A.; Willie, Robert
3
2007
Infinite resonant solutions and turning points in a problem with unbounded bifurcation. Zbl 1202.35085
Arrieta, J. M.; Pardo, R.; Rodríguez-Bernal, A.
3
2010
Nonlinear evolution equations in scales of Banach spaces and applications to PDEs. Zbl 1390.35174
Cholewa, Jan W.; Quesada, Carlos; Rodríguez-Bernal, Aníbal
2
2017
Cauchy problem for the time-dependent Ginzburg-Landau model of superconductivity. Zbl 0973.35172
Rodriguez-Bernal, A.; Wang, B.
2
2000
On the construction of inertial manifolds under symmetry constraints. II: O(2) constraint and inertial manifolds on thin domains. Zbl 0857.35061
Rodríguez-Bernal, Aníbal
2
1993
Critical and supercritical higher order parabolic problems in \(\mathbb R^N\). Zbl 1288.35281
Cholewa, Jan W.; Rodriguez-Bernal, Anibal
2
2014
Extremal equilibria and asymptotic behavior of parabolic nonlinear reaction-diffusion equations. Zbl 1100.35055
Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro
2
2005
Nonlinear nonlocal reaction-diffusion equations. Zbl 1328.35267
Rodríguez-Bernal, Aníbal; Sastre-Gómez, Silvia
2
2015
On the finite dimension of attractors of parabolic problems in \(\mathbb R^N\) with general potentials. Zbl 1139.35025
Arrieta, José M.; Moya, Nancy; Rodríguez-Bernal, Aníbal
2
2008
Some general models of traffic flow in an isolated network. Zbl 1370.90041
Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal
2
2017
Dynamic boundary conditions as limit of singularly perturbed parabolic problems. Zbl 1306.35053
Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal
1
2011
Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary. Zbl 1429.35019
Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal
1
2019
Optimal existence classes and nonlinear-like dynamics in the linear heat equation in \(\mathbb{R}^d\). Zbl 1400.35151
Robinson, James C.; Rodríguez-Bernal, Aníbal
1
2018
Initial value problem and asymptotic low dimensional behavior in the Kuramoto-Velarde equation. Zbl 0796.35149
Rodríguez-Bernal, Aníbal
1
1992
Linear stability analysis and metastable solutions for a phase-field model. Zbl 0954.35026
Jiménez-Casas, A.; Rodríguez-Bernal, A.
1
1999
Parabolic singular limit of a wave equation with localized interior damping. Zbl 0993.35008
Rodríguez-Bernal, Aníbal; Zuazua, Enrique
1
2001
Perturbation of the exponential type of linear nonautonomous parabolic equations and applications to nonlinear equations. Zbl 1191.35031
Rodríguez-Bernal, A.
1
2009
Flux condition induced by concentrated reactions. Zbl 1274.35086
Arrieta, José M.; Jiménez-Casas, Angela; Rodríguez-Bernal, Aníbal
1
2005
Localization phenomena in a degenerate logistic equation. Zbl 1288.35049
Arrieta, Jose M.; Pardo, Rosa; Rodriguez-Bernal, Anibal
1
2014
Dynamics of reaction diffusion equations under nonlinear boundary conditions. Zbl 0962.35103
Rodriguez-Bernal, Aníbal; Tajdine, Anas
1
2000
Parabolic equations in locally uniform spaces. Zbl 1125.35046
Rodríguez-Bernal, Aníbal
1
2005
Dynamic boundary conditions as a singular limit of parabolic problems with terms concentrating at the boundary. Zbl 1282.35027
Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal
1
2012
Linear higher order parabolic problems in locally uniform Lebesgue’s spaces. Zbl 1366.35061
Cholewa, Jan W.; Rodriguez-Bernal, Anibal
1
2017
Linear model of traffic flow in an isolated network. Zbl 1336.34087
Rodríguez-Bernal, Aníbal; Jiménez-Casas, Ángela
1
2015
A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities. Zbl 1277.35212
Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro
1
2014
The heat equaton with general periodic boundary conditions. Zbl 06690963
Rodríguez-Bernal, Aníbal
1
2017
Asymptotic behavior of degenerate logistic equations. Zbl 1321.35096
Arrieta, José M.; Pardo, Rosa; Rodríguez-Bernal, Aníbal
1
2015
Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary. Zbl 1429.35019
Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal
1
2019
Optimal existence classes and nonlinear-like dynamics in the linear heat equation in \(\mathbb{R}^d\). Zbl 1400.35151
Robinson, James C.; Rodríguez-Bernal, Aníbal
1
2018
Nonlinear evolution equations in scales of Banach spaces and applications to PDEs. Zbl 1390.35174
Cholewa, Jan W.; Quesada, Carlos; Rodríguez-Bernal, Aníbal
2
2017
Some general models of traffic flow in an isolated network. Zbl 1370.90041
Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal
2
2017
Linear higher order parabolic problems in locally uniform Lebesgue’s spaces. Zbl 1366.35061
Cholewa, Jan W.; Rodriguez-Bernal, Anibal
1
2017
The heat equaton with general periodic boundary conditions. Zbl 06690963
Rodríguez-Bernal, Aníbal
1
2017
Linear non-local diffusion problems in metric measure spaces. Zbl 1357.45009
Rodríguez-Bernal, Aníbal; Sastre-Gómez, Silvia
6
2016
Nonlinear nonlocal reaction-diffusion equations. Zbl 1328.35267
Rodríguez-Bernal, Aníbal; Sastre-Gómez, Silvia
2
2015
Linear model of traffic flow in an isolated network. Zbl 1336.34087
Rodríguez-Bernal, Aníbal; Jiménez-Casas, Ángela
1
2015
Asymptotic behavior of degenerate logistic equations. Zbl 1321.35096
Arrieta, José M.; Pardo, Rosa; Rodríguez-Bernal, Aníbal
1
2015
Smoothing and perturbation for some fourth order linear parabolic equations in \(\mathbb R^N\). Zbl 06420144
Quesada, Carlos; Rodríguez-Bernal, Aníbal
4
2014
Critical and supercritical higher order parabolic problems in \(\mathbb R^N\). Zbl 1288.35281
Cholewa, Jan W.; Rodriguez-Bernal, Anibal
2
2014
Localization phenomena in a degenerate logistic equation. Zbl 1288.35049
Arrieta, Jose M.; Pardo, Rosa; Rodriguez-Bernal, Anibal
1
2014
A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities. Zbl 1277.35212
Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro
1
2014
Linear and semilinear higher order parabolic equations in \(\mathbb R^N\). Zbl 1228.35123
Cholewa, Jan W.; Rodriguez-Bernal, Anibal
8
2012
Dissipative mechanism of a semilinear higher order parabolic equation in \(\mathbb R^N\). Zbl 1242.35055
Cholewa, Jan W.; Rodriguez-Bernal, Anibal
6
2012
On the Cahn-Hilliard equation in \(H^1(\mathbb R^N)\). Zbl 1256.35133
Cholewa, Jan W.; Rodriguez-Bernal, Anibal
5
2012
A singular perturbation in a linear parabolic equation with terms concentrating on the boundary. Zbl 1284.35044
Rodríguez-Bernal, Aníbal
4
2012
Dynamic boundary conditions as a singular limit of parabolic problems with terms concentrating at the boundary. Zbl 1282.35027
Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal
1
2012
Singular limit for a nonlinear parabolic equation with terms concentrating on the boundary. Zbl 1219.35019
Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal
10
2011
Perturbation of analytic semigroups in scales of Banach spaces and applications to linear parabolic equations with low regularity data. Zbl 1242.47034
Rodríguez-Bernal, A.
7
2011
Dynamic boundary conditions as limit of singularly perturbed parabolic problems. Zbl 1306.35053
Jiménez-Casas, Ángela; Rodríguez-Bernal, Aníbal
1
2011
On the long time behavior of non-autonomous Lotka-Volterra models with diffusion via the sub-supertrajectory method. Zbl 1195.35178
Langa, José A.; Rodríguez-Bernal, Aníbal; Suárez, Antonio
12
2010
Extremal equilibria for monotone semigroups in ordered spaces with application to evolutionary equations. Zbl 1209.37024
Cholewa, Jan W.; Rodriguez-Bernal, Anibal
9
2010
Infinite resonant solutions and turning points in a problem with unbounded bifurcation. Zbl 1202.35085
Arrieta, J. M.; Pardo, R.; Rodríguez-Bernal, A.
3
2010
Equilibria and global dynamics of a problem with bifurcation from infinity. Zbl 1195.35040
Arrieta, José M.; Pardo, Rosa; Rodríguez-Bernal, Anibal
10
2009
Permanence and asymptotically stable complete trajectories for nonautonomous Lotka-Volterra models with diffusion. Zbl 1185.35119
Langa, José A.; Robinson, James C.; Rodríguez-Bernal, Aníbal; Suárez, Antonio
10
2009
Extremal equilibria for dissipative parabolic equations in locally uniform spaces. Zbl 1195.35175
Cholewa, Jan W.; Rodríguez-Bernal, Aníbal
6
2009
Asymptotic behavior of a parabolic problem with terms concentrated in the boundary. Zbl 1239.35027
Jiménez-Casas, Angela; Rodríguez-Bernal, Aníbal
5
2009
Perturbation of the exponential type of linear nonautonomous parabolic equations and applications to nonlinear equations. Zbl 1191.35031
Rodríguez-Bernal, A.
1
2009
Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary. Zbl 1162.35021
Arrieta, José M.; Jiménez-Casas, Angela; Rodríguez-Bernal, Anibal
22
2008
Extremal equilibria for reaction-diffusion equations in bounded domains and applications. Zbl 1162.35044
Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro
16
2008
The best Sobolev trace constant as limit of the usual Sobolev constant for small strips near the boundary. Zbl 1228.46027
Arrieta, José M.; Rodríguez-Bernal, Aníbal; Rossi, J. D.
7
2008
Semistable extremal ground states for nonlinear evolution equations in unbounded domains. Zbl 1139.35063
Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro
5
2008
On the finite dimension of attractors of parabolic problems in \(\mathbb R^N\) with general potentials. Zbl 1139.35025
Arrieta, José M.; Moya, Nancy; Rodríguez-Bernal, Aníbal
2
2008
Pullback attractors and extremal complete trajectories for non-autonomous reaction-diffusion problems. Zbl 1137.35009
Robinson, James C.; Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro
15
2007
Bifurcation and stability of equilibria with asymptotically linear boundary conditions at infinity. Zbl 1202.35119
Arrieta, José M.; Pardo, Rosa; Rodríquez-Bernal, Anibal
12
2007
Dissipative parabolic equations in locally uniform spaces. Zbl 1146.35015
Arrieta, J. M.; Cholewa, J. W.; Dlotko, Tomasz; Rodríguez-Bernal, A.
12
2007
Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations. Zbl 1126.37008
Langa, J. A.; Robinson, J. C.; Rodríguez-Bernal, A.; Suárez, A.; Vidal-López, A.
11
2007
Existence, uniqueness and attractivity properties of positive complete trajectories for non-autonomous reaction-diffusion problems. Zbl 1155.35392
Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro
10
2007
Nesting inertial manifolds for reaction and diffusion equations with large diffusivity. Zbl 1119.35008
Rodríguez Bernal, A.; Willie, Robert
3
2007
Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity. Zbl 1185.37161
Arrieta, José M.; Rodríguez-Bernal, Aníbal; Valero, José
25
2006
Singular large diffusivity and spatial homogenization in a non homogeneous linear parabolic problem. Zbl 1071.35018
Rodríguez-Bernal, Aníbal; Willie, Robert
7
2005
Complete and energy blow-up in parabolic problems with nonlinear boundary conditions. Zbl 1074.35060
Quittner, Pavol; Rodríguez-Bernal, Aníbal
5
2005
Extremal equilibria and asymptotic behavior of parabolic nonlinear reaction-diffusion equations. Zbl 1100.35055
Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro
2
2005
Flux condition induced by concentrated reactions. Zbl 1274.35086
Arrieta, José M.; Jiménez-Casas, Angela; Rodríguez-Bernal, Aníbal
1
2005
Parabolic equations in locally uniform spaces. Zbl 1125.35046
Rodríguez-Bernal, Aníbal
1
2005
Linear parabolic equations in locally uniform spaces. Zbl 1058.35076
Arrieta, Jose M.; Rodriguez-Bernal, Anibal; Cholewa, Jan W.; Dlotko, Tomasz
46
2004
Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains. Zbl 1058.35102
Arrieta, José M.; Cholewa, Jan W.; Dłotko, Tomasz; Rodríguez-Bernal, Aníbal
43
2004
Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena. Zbl 1072.35098
Rodriguez-Bernal, Anibal; Arrieta, José M.; Souplet, Philippe
18
2004
Localization on the boundary of blow up for reaction-diffusion equations with nonlinear boundary conditions. Zbl 1058.35119
Arrieta, José M.; Rodríguez-Bernal, Aníbal
15
2004
Non well posedness of parabolic equations with supercritical nonlinearities. Zbl 1203.35131
Arrieta, José M.; Rodríguez-Bernal, Aníbal
9
2004
On a singularly perturbed wave equation with dynamic boundary conditions. Zbl 1058.35020
Popescu, Luminiţa; Rodriguez-Bernal, Aníbal
7
2004
Stable boundary layers in a diffusion problem with nonlinear reaction at the boundary. Zbl 1077.35064
Arrieta, José M.; Cónsul, Neus; Rodríguez-Bernal, Aníbal
5
2004
Attractors for parabolic equations with nonlinear boundary conditions, critical exponents, and singular initial data. Zbl 1042.35006
Rodríguez-Bernal, Aníbal
21
2002
Asymptotic behaviour for a phase field model in higher order Sobolev spaces. Zbl 1009.35011
Jiménez-Casas, A.; Rodríguez-Bernal, A.
8
2002
Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: Dissipativity and blow-up. Zbl 0999.35047
Rodríguez-Bernal, Aníbal; Tajdine, Anas
45
2001
Parabolic problems with nonlinear dynamical boundary conditions and singular initial data. Zbl 1018.35047
Arrieta, José M.; Quittner, Pavol; Rodríguez-Bernal, Aníbal
16
2001
Parabolic singular limit of a wave equation with localized interior damping. Zbl 0993.35008
Rodríguez-Bernal, Aníbal; Zuazua, Enrique
1
2001
Attractors of parabolic problems with nonlinear boundary conditions. Uniform bounds. Zbl 0953.35021
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Aníbal
64
2000
Attractors for partly dissipative reaction diffusion systems in \(\mathbb{R}^n\). Zbl 0977.35028
Rodriguez-Bernal, Anibal; Wang, Bixiang
35
2000
Upper semicontinuity for attractors of parabolic problems with localized large diffusion and nonlinear boundary conditions. Zbl 0963.35024
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Aníbal
26
2000
Cauchy problem for the time-dependent Ginzburg-Landau model of superconductivity. Zbl 0973.35172
Rodriguez-Bernal, A.; Wang, B.
2
2000
Dynamics of reaction diffusion equations under nonlinear boundary conditions. Zbl 0962.35103
Rodriguez-Bernal, Aníbal; Tajdine, Anas
1
2000
Parabolic problems with nonlinear boundary conditions and critical nonlinearities. Zbl 0938.35077
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Anibal
61
1999
Asymptotic behaviour of time-dependent Ginzburg-Landau equations of superconductivity. Zbl 1099.35533
Rodriguez-Bernal, Anibal; Wang, Bixiang; Willie, Robert
6
1999
Perturbation of the diffusion and upper semicontinuity of attractors. Zbl 0948.37056
Arrieta, J. M.; Carvalho, A. N.; Rodríguez-Bernal, A.
4
1999
Finite-dimensional asymptotic behavior in a thermosyphon including the Soret effect. Zbl 0926.35020
Jiménez-Casas, A.; Rodriguez-Bernal, A.
3
1999
Linear stability analysis and metastable solutions for a phase-field model. Zbl 0954.35026
Jiménez-Casas, A.; Rodríguez-Bernal, A.
1
1999
Localized spatial homogenization and large diffusion. Zbl 0915.35009
Rodríguez-Bernal, Aníbal
12
1998
Diffusion induced chaos in a closed loop thermosyphon. Zbl 0913.35080
Rodríguez-Bernal, Aníbal; Van Vleck, Erik S.
5
1998
Critical nonlinearities at the boundary. Zbl 0915.35058
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Aníbal
5
1998
Complex oscillations in a closed thermosyphon. Zbl 1004.34035
Rodríguez-Bernal, Aníbal; Van Vleck, Erik S.
4
1998
Attractors for parabolic problems with nonlinear boundary conditions. Zbl 0876.35059
Carvalho, Alexandre N.; Oliva, Sergio M.; Pereira, Antônio L.; Rodgriguez-Bernal, Aníbal
22
1997
Parabolic singular limit of a wave equation with localized boundary damping. Zbl 0891.35075
Rodríguez-Bernal, Aníbal; Zuazua, Enrique
9
1995
Attractors and inertial manifolds for the dynamics of a closed thermosyphon. Zbl 0854.76088
Rodríguez-Bernal, Aníbal
4
1995
On the construction of inertial manifolds under symmetry constraints. II: O(2) constraint and inertial manifolds on thin domains. Zbl 0857.35061
Rodríguez-Bernal, Aníbal
2
1993
Initial value problem and asymptotic low dimensional behavior in the Kuramoto-Velarde equation. Zbl 0796.35149
Rodríguez-Bernal, Aníbal
1
1992
Inertial manifolds for dissipative semiflows in Banach spaces. Zbl 0678.35006
Rodriguez Bernal, Anibal
13
1990
all top 5

Cited by 499 Authors

50 Rodríguez-Bernal, Aníbal
36 Nolasco de Carvalho, Alexandre
27 Arrieta, José M.
19 Cholewa, Jan W.
17 Valero, José
14 Pereira, Marcone Corrêa
13 Langa, Jose’ Antonio
11 Dlotko, Tomasz W.
11 Jiménez-Casas, Angela
11 Sun, Chunyou
9 Zhong, Chengkui
8 Bezerra, Flank David Morais
8 Robinson, James Cooper
8 Rossi, Julio Daniel
7 Caraballo Garrido, Tomás
7 Li, Xiaojun
7 Pereira, Antônio Luiz
6 Aragão, Gleiciane S.
6 Gal, Ciprian Gheorghe Sorin
6 García-Melián, Jorge
6 Kasyanov, Pavlo O.
6 Simsen, Jacson
6 Souplet, Philippe
6 Willie, Robert
5 Carbone, Vera Lúcia
5 Czaja, Radosław
5 Gorban, Nataliia V.
5 Lozada-Cruz, German
5 Marín-Rubio, Pedro
5 Pardo, Rosa M.
5 Vidal-López, Alejandro
5 Wang, Bixiang
5 Yue, Gaocheng
5 Zheng, Sining
4 Bortolan, Matheus Cheque
4 Bruschi, Simone Mazzini
4 do Nascimento, Arnaldo Simal
4 Dratman, Ezequiel
4 Gallay, Thierry
4 Grasselli, Maurizio
4 Ishige, Kazuhiro
4 Kloeden, Peter Eris
4 Lee, Jihoon
4 Madeira, Gustavo Ferron
4 Shomberg, Joseph L.
4 Simsen, Mariza Stefanello
4 Yang, Meihua
4 Zhang, Zhengce
3 Anguiano, María
3 Attouchi, Amal
3 Chen, Huyuan
3 Cónsul, Neus
3 Cui, Hongyong
3 Fang, Zhongbo
3 Ferreira, Lucas Catão de Freitas
3 Gentile, Cláudia Buttarello
3 Gluzman, Mark O.
3 Kania, Maria B.
3 Meyries, Martin
3 Mu, Chunlai
3 Nascimento, Marcelo Jose Dias
3 Nogueira, Ariadne
3 Oliva, Sergio M.
3 Pires, Leonardo
3 Pražák, Dalibor
3 Quesada, Carlos
3 Quittner, Pavol
3 Rehberg, Joachim
3 Ruas-Filho, José Gaspar
3 Sabina-de-Lis, José Claudio
3 Sato, Ryuichi
3 Schiabel-Silva, Karina
3 Slavík, Jakub
3 Slijepčević, Siniša
3 Song, Xianfa
3 Suárez, Antonio
3 Wang, Ming
3 Weiss, George
3 Yang, Lu
3 Zhao, Xiaopeng
3 Zheng, Pan
2 Ahmed, Iftikhar
2 Bensid, Sabri
2 Berti, Valeria
2 Bonotto, Everaldo M.
2 Castro, Mario H.
2 da Costa, Henrique B.
2 Dai, Guowei
2 Diaz Diaz, Jesus Ildefonso
2 Ding, Juntang
2 Duan, Ning
2 Ducrot, Arnaud
2 Fan, Xianling
2 Fan, Zhaohui
2 Fernández-Cara, Enrique
2 Figueroa-López, Rodiak N.
2 Furtado, Marcelo Fernandes
2 Galakhov, Evgeniĭ Igorevich
2 Gess, Benjamin
2 Girouard, Alexandre
...and 399 more Authors
all top 5

Cited in 125 Serials

65 Journal of Differential Equations
45 Journal of Mathematical Analysis and Applications
39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
21 Discrete and Continuous Dynamical Systems. Series B
12 Communications on Pure and Applied Analysis
10 Mathematical Methods in the Applied Sciences
10 Discrete and Continuous Dynamical Systems
9 Journal of Dynamics and Differential Equations
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Applicable Analysis
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Transactions of the American Mathematical Society
6 Nonlinear Analysis. Real World Applications
5 Quarterly of Applied Mathematics
5 Applied Mathematics Letters
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Communications in Partial Differential Equations
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Topological Methods in Nonlinear Analysis
5 Abstract and Applied Analysis
5 Revista Matemática Complutense
4 Journal of Mathematical Physics
4 Nonlinearity
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Calculus of Variations and Partial Differential Equations
4 Communications in Contemporary Mathematics
4 Journal of Evolution Equations
4 Boundary Value Problems
3 Applied Mathematics and Computation
3 Journal of Computational and Applied Mathematics
3 Proceedings of the American Mathematical Society
3 Applied Mathematics and Mechanics. (English Edition)
3 Acta Applicandae Mathematicae
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Set-Valued and Variational Analysis
3 Nonlinear Analysis. Theory, Methods & Applications
2 Bulletin of the Australian Mathematical Society
2 Computers & Mathematics with Applications
2 Applied Mathematics and Optimization
2 Czechoslovak Mathematical Journal
2 Mathematische Annalen
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Acta Mathematicae Applicatae Sinica. English Series
2 Asymptotic Analysis
2 SIAM Journal on Mathematical Analysis
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Potential Analysis
2 Set-Valued Analysis
2 Electronic Journal of Differential Equations (EJDE)
2 NoDEA. Nonlinear Differential Equations and Applications
2 Opuscula Mathematica
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Nonlinear Dynamics
2 Journal of Inequalities and Applications
2 Discrete Dynamics in Nature and Society
2 Journal of Dynamical and Control Systems
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Advances in Difference Equations
2 Discrete and Continuous Dynamical Systems. Series S
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Automatica
1 Collectanea Mathematica
1 Computing
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the Korean Mathematical Society
1 Mathematische Zeitschrift
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 SIAM Journal on Numerical Analysis
1 Zeitschrift für Analysis und ihre Anwendungen
1 Chinese Annals of Mathematics. Series B
1 Physica D
1 Applied Numerical Mathematics
1 Journal of Complexity
1 Revista Matemática Iberoamericana
1 Mathematical and Computer Modelling
1 Publicacions Matemàtiques
1 MCSS. Mathematics of Control, Signals, and Systems
1 Forum Mathematicum
1 Science in China. Series A
1 Japan Journal of Industrial and Applied Mathematics
1 Geometric and Functional Analysis. GAFA
1 Journal of Nonlinear Science
1 Cybernetics and Systems Analysis
1 Bulletin des Sciences Mathématiques
1 Advances in Computational Mathematics
1 Journal of Difference Equations and Applications
1 Vietnam Journal of Mathematics
1 Taiwanese Journal of Mathematics
1 Journal of Mathematical Fluid Mechanics
1 Acta Mathematica Sinica. English Series
1 Communications in Nonlinear Science and Numerical Simulation
1 Annales Henri Poincaré
1 Differential Equations
...and 25 more Serials

Citations by Year