Publications (and some PDF files)

#
AuthorTitleYearJournal/ProceedingsReftypeFILE/URL
135
Cholewa, J. &
Rodríguez-Bernal, A.		On linear
Schrödinger parabolic problems in Morrey spaces		2024to appear in Journal of Mathematical Analysis and ApplicationsarticleFILE
134
Dominguez-de-Tena, J. & Rodríguez-Bernal, A.On the loss of mass for the heat equation in an exterior
domain with general boundary conditions		2024São Paulo J. Math Sci (Special Issue in Honor of Giorgio Fusco), 18, 1055–1080

DOI: 10.1007/s40863-024-00415-w
articleFILE
133
Jiménez-Casas, A. & Rodríguez-Bernal, A.A
nonlinear damped transmission problem as limit of wave equations
with concentrating nonlinear terms away from the boundary		2024Nonlinear Analysis 241, 113492
DOI: 10.1016/j.na.2024.113492		articleFILE
132
Cholewa, J. &
Rodríguez-Bernal, A.		On linear
higher order parabolic equations in Morrey space		2023Analysis and Applications, vol. 21, 1561-1608
DOI: 10.1142/S0219530523500161		articleFILE
131
Cholewa, J. &
Rodríguez-Bernal, A.		Selfsimilarity in homogeneous stationary and evolution problems2023 J. of Evolution Equations
DOI:10.1007/s00028-023-00893-z		articleFILE
130
Robinson, J. &
Rodríguez-Bernal, A.		Estimates for the heat flow in optimal spaces of unbounded initial data in $\R^{\N}$ and applications to the Ornstein-Uhlenbeck semigroup2023Mediterranean J. of Math.
DOI:10.1007/s00009-023-02293-6		articleFILE
129
Robinson, J. &
Rodríguez-Bernal, A.		Linear non-autonomous heat flow in $L^1_0(R^d)$ and applications to elliptic equations in $R^d$2023J. Dynamics Diff. Equations.
DOI:10.1007/s10884-022-10195-6		articleFILE
128
Rodríguez-Bernal, A.Principal eigenvalue,
maximum principles and linear stability for nonlocal diffusion
equations in metric measure spaces		2022Nonlinear Analysis T.M.A, 221, 112807 (34 páginas)articleFILE
127
Cholewa, J. &
Rodríguez-Bernal, A.		On some
pdes involving homogeneous operators. Spectral analysis, semigroups
and Hardy inequalities		2022J. of Differential Equations 315, 1-56 (2022)articleFILE
126
Rodríguez-Bernal, A. & Sastre-Gómez, S.Nonlinear nonlocal reaction–diffusion problem with local reaction2022Discrete and Continuous Dynamical Systems, 41, 1731-1765articleFILE
125
Cholewa, J. &
Rodríguez-Bernal, A.		Sharp estimates for homogeneous semigroups in homogeneous spaces. Applications to pdes and fractional diffusion in R^N2022Comm. in Contemp. Math., vol 41, (56 pages), paper 2050070, https://doi.org/10.1142/S0219199720500704articleFILE
124
Robinson, J. &
Rodríguez-Bernal, A.		The heat flow in an optimal Fréchet space of unbounded
initial data in R^N		2020J. of Differential Equations 269, 10277-10321articleFILE
123
Jiménez-Casas, A. & Rodríguez-Bernal, A.PDE problems with concentrating terms near the boundary2020Comm. Pure Applied Analysis 19, 2147-2195articleFILE
122
Jiménez-Casas, A. & Rodríguez-Bernal, A.Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary2019Discrete and Continuous Dynamical Systems 39, 5125-5147 articleFILE
121
Rodríguez-Bernal, A. & Vidal-López, A. Interaction of localized large diffusion and boundary conditions2019J. of Differential Equations 267, 2687-2736articleFILE
120
Robinson, J. &
Rodríguez-Bernal, A.		Optimal existence classes and nonlinear-like dynamics in the linear heat equation in R^N2018Advances in Mathematics. Vol. 334, pp. 488-543articleFILE
119
Cholewa, J. &
Rodríguez-Bernal, A. & Quesada, C. 		Nonlinear evolution equations in scales of Banach spaces and applications to PDEs2017Journal of Abstract Differential Equations and Applications. Vol. 8, pp. 1-69article FILE
118
Cholewa, J. &
Rodríguez-Bernal, A.		Linear higher
order parabolic problems in locally uniform Lebesgue's spaces		2017Journal of Mathematical Analysis and
Applications 449, 1-45 		article FILE
117
Jiménez-Casas, A. &
Rodríguez-Bernal, A.		Some general models of traffic flow in an isolated
network		2017Mathematical Methods in the Applied
Sciences, vol 11, 3982-4000 		article FILE
116
Rodríguez-Bernal,
A. & Quesada, C.		Second order linear parabolic equations in uniform spaces in R^N2017 Revista
Matemática Complutense, 30, 63-78		article FILE
115
Rodríguez-Bernal, A.The heat equaton with general periodic boundary conditions2017Potential Analysis. Vol. 46, pp. 295-321.article FILE
114
Rodríguez-Bernal, A. &
Vidal-López, A. 		Well posedness and asymptotic behavior of supercritical reaction-diffusion equations with nonlinear boundary conditions2016Dynamics of Partial Differential Equations. Vol. 13, pp. 273-295.article FILE
113
Rodríguez-Bernal,
A. & Sastre, S. 		Linear nonlocal diffusion problems in metric measure spaces2016Proceedings of the Royal Society of Edinburg. Vol. 146, pp. 833-863article FILE
112
Arrieta, J. M.; Pardo, R. &
Rodríguez-Bernal, A.
Asymptotic behavior of degenerate logistic equations2015J. Differential Equations. Vol. 259(11), pp. 6368-6398article FILE
111
Jiménez-Casas, A. & Rodríguez-Bernal, A.Linear model of traffic flow in an isolated network2015Dynamical Systems, Differential Equations
and Applications 10th AIMS Conference. Suppl., pp. 670-677 		inproceedins FILE
110
Jiménez-Casas, A. &
Rodríguez-Bernal,
A.		A model of traffic flow in a network
2014
Advances in Differential Equations and
Applications, SEMA/SIMAI Springer Series, Vol. 4, pp 193-200
chapter
109
Rodríguez-Bernal,
A. & Sastre, S. 		Nonlinear nonlocal reaction diffusion equations
2014
Advances in Differential Equations and
Applications, SEMA/SIMAI Springer Series, Vol. 4, pp 53-61
chapter
108
Rodríguez-Bernal,
A. & Quesada, C.		Perturbation of analytic semigroups in uniform spaces in  R^N
2014
Advances in Differential Equations and
Applications, SEMA/SIMAI Springer Series, Vol. 4, pp 41-49
chapter
107
Arrieta, J. M.; Pardo, R. &
Rodríguez-Bernal, A.
A degenerate parabolic logistic equation
2014
Advances in Differential Equations and
Applications, SEMA/SIMAI Springer Series, Vol. 4, pp 3-10
chapter
106
Cholewa, J. &
Rodríguez-Bernal, A.		A note on the Cahn Hilliard equation in
H^1(R^N) involving critical exponent
2014
Mathematica Bohemica 139, 269 283
article
 FILE
105
Rodríguez-Bernal,
A. & Quesada, C. 		Smoothing and perturbation
for some fourth order linear parabolic equations in  R^N
2014
Journal of Mathematical
Analysis and Applications, 412, pp. 1105-1134
article
FILE
104
Cholewa, J. &
Rodríguez-Bernal, A.		Critical and supercritical higher order
parabolic problems in R^N
2014
Nonlinear Analysis TMA 104, 50 74
article
 FILE
103
Rodríguez-Bernal, A. &
Vidal-López, A. 		A note on the existence of global solutions
for reaction-diffusion equations with almost-monotonic
nonlinearities
2014
Communications on Pure and Applied Analysis 13, 635-644
article
 FILE
102
Arrieta, J. M.; Pardo, R. &
Rodríguez-Bernal, A.		Localization phenomena in a degenerate logistic equation2014
Electronic Journal of Differential Equations,
Conference 21, 1-9
article
FILE
101
Cortez,F & Rodríguez-Bernal,
A
PDEs in moving time dependent domains
2013
Without Bounds: A Scientific Canvas of
Nonlinearity and Complex Dynamics. Springer Series:
Understanding Complex Systems
chapter
 FILE
100
Jiménez-Casas, A.
&
Rodríguez-Bernal,
A. 		Dynamic boundary conditions as a
singular limit of parabolic problems with terms
concentrating at the
boundary
2012
Dynamics of
Partial Differential Equations 9, 341-368
articleFILE
99
Cholewa, J. &
Rodríguez-Bernal, A.		On the Cahn-Hilliard
equation
in H^1(R^N)
2012
Journal of
Differential Equations 253, 3678-3726 
article
 FILE
98
Arrieta, J. M.; 
Carvalho,
A.; Langa, J.A. & Rodríguez-Bernal, A. 		Continuity of dynamical
structures for non-autonomous evolution equations under
singular
perturbations		2012
 Journal of Dynamics and
Differential Equations 24, 427-481
article
 FILE
97
Cholewa, J. &
Rodríguez-Bernal, A.		Dissipative mechanism of a semilinear higher order parabolic equation in R^N
2012
 Nonlinear
Analysis
TMA 75, 3510-3530
article FILE
96
Rodríguez-Bernal, A. A singular perturbation in
a linear parabolic equation with terms concentrating
on the boundary
2012
Revista
Matemática Complutense 25,1, 165-197
article FILE
95
Cholewa, J. &
Rodríguez-Bernal, A.		Linear and semilinear higher
order parabolic equations in R^N
2012
Nonlinear Anlysis TMA 75,
194-210
article
 FILE
94
Jiménez-Casas, A.
&
Rodríguez-Bernal,
A.		Dynamic  boundary
conditions as limit of singularly perturbed parabolic 
problems
2011
Discrete and Continuous
Dynamical Systems, Supplement

2011. Dedicated to the 8th AIMS Conference, Dresden
(Germany),
737-746
article
93
Rodríguez-Bernal,
A. & Quesada, C.
Smoothing and perturbation
for some fourth order linear parabolic problems
2011
Actas del XXII CEDYA, Palma
de
Mallorca
inproceedings
92
Rodríguez-Bernal,
A. & Sastre, S.
On some linear nonlocal
problems
2011
Actas del XXII CEDYA, Palma
de
Mallorca		inproceedings
91
Jiménez-Casas, A.
&
Rodríguez-Bernal,
A.		Singular  limit for a
nonlinear parabolic equation  with terms concentrating on
the boundary
2011
Journal of
Mathematical Analysis and  Applications  379,
567-588
article FILE
90
Rodríguez-Bernal, A.
Perturbation of analytic
semigroups in scales of banach spaces and applications to
parabolic
equations with low regularity data		2011 SEMA Journal 53, 3-54
article FILE
87
Langa, J.A.;
Rodríguez-Bernal,
A. & Suarez, A.		The  sub-supertrajectory
method. Application to the nonautonomous competition
Lotka-Volterra model
2010
Bol. Soc.
Esp. Mat. Apl. 51, 91-98
article
 FILE
89
Langa, J.A.;
Rodríguez-Bernal,
A. & Suarez, A.		On the long time behaviour of
non-autonomous Lotka-Volterra models with diffusion via the
sub-super trajectory method		2010Journal of
Differential Equations 249, 414-445
article FILE
88
Cholewa, J. &
Rodríguez-Bernal, A.		Extremal equilibria for
monotone
semigroups with applications to evolutionary equations		2010Journal of
Differential Equations, 249, 485-525
article FILE
86
Arrieta, J. M.; Pardo, R. &
Rodríguez-Bernal, A.		Infinite resonant solutions and
turning points in a problem with unbounded bifurcation		2010 Inter. J. of Bifurcation and Chaos,  Vol 20, no 9,
2885-2896 		article FILE
85
Cholewa, J. &
Rodríguez-Bernal, A.		Extremal equilibria for
dissipative parabolic equations in
locally uniform spaces		2009
Math.  Model
Methods Appl Sci vol. 19, Pages 1995-2037
article
 FILE
83
Rodríguez-Bernal, A. &
Vidal-López, A.		Dinámica
asintótica de problemas de
reacción-difusión con
balance no lineal entre la reacción en el interior y
en la
frontera
2009
Actas del XXI CEDYA, Ciudad
Real
inproceedings
82
Cholewa, J. &
Rodríguez-Bernal, A.		Algunas propiedades
dinámicas de semigrupos monótonos y
aplicaciones
2009
Actas del XXI CEDYA, Ciudad
Real		inproceedings
81
Jiménez-Casas, A.
&
Rodríguez-Bernal,
A.		Atractor de un problema
parabólico con términos concentrados en la
frontera
2009
Actas del XXI CEDYA, Ciudad
Real		inproceedings
79
Arrieta, J. M., Pardo, R.
&
Rodríguez-Bernal, A.		Equilibria and global dynamics of a problem with bifurcation  from infinity2009
Journal of
Differential Equations, Volume 246, Pages 2055-2080
article FILE
84
Jiménez-Casas, A.
&
Rodríguez-Bernal,
A.		Asymptotic behaviour of a
parabolic problem with terms concentrated in the boundary		2009Nonlinear Analysis
TMA vol. 71, Pages 2377-2383
article FILE
80
Rodríguez-Bernal, A.Perturbation of the
exponential
type of linear nonautonomous
parabolic equations and applications to nonlinear equations		2009Discrete and Continuous
Dynamical Systems  A., vol. 25, Pages 1003-1032
article FILE
78
Langa, J., Robinson, J.,
Rodríguez-Bernal, A. & Suárez, A.		Permanence and asymptotically
stable complete trajectories
for non-autonomous Lotka-Volterra models with diffusion		2009SIAM J. Math. Anal., Volume
40,
Pages 2179-2216
article FILE
77
Rodríguez-Bernal, A. & Vidal-López, A.Semistable extremal ground states for nonlinear evolution
equations in unbounded domains		2008Journal of Mathematical Analysis and Applications
Volume 338, Pages 675-694 		article FILE
76
Arrieta, J., N.Moya & Rodríguez-Bernal, A.On the finite dimension of attractors for parabolic
problems
in R^N with general potentials		2008Nonlinear Analysis T.M.A.   Volume 68, Pages
1082-1099 		article FILE
75
Rodríguez-Bernal, A. & Vidal-López, A.Extremal equilibria for nonlinear parabolic equations in
bounded domains and applications		2008Journal of Differential Equations Volume 244, Pages
2983-3030
article FILE
74
Arrieta, J., Rossi, J. & Rodríguez-Bernal, A.The best Sobolev trace constant as limit of the usual
Sobolev
constant for small strips near the boundary		2008Proceedings of the Royal Society of Edinburgh.
Section A. Mathematics , volume 138A, pages 223-237
article FILE
73
Arrieta, J., Jiménez-Casas, A. &
Rodríguez-Bernal,
A.		Flux terms and Robin boundary conditions as reactions and
potentials concentrating in the boundary		2008Revista Iberoamericana de Matemáticas , Volume
24,  pages 187-211
article FILE
63
Rodríguez-Bernal, A.Perturbación y  
decaimiento en ecuaciones parab'olicas no autonomas
2007
Actas del XX CEDYA, Sevilla,
2007 		inproceedings
72
Langa, J. A., Robinson, J. C., Rodríguez-Bernal, A.,
Suárez,
A. & Vidal-López, A.		Existence and nonexistence of unbounded forward attractor
for a class of nonautonomous reaction diffusion equation		2007Discrete Contin. Dynam. Systems   Volume 18, Pages
483-487, 		article FILE
71
Rodríguez-Bernal, A. & Vidal-López, A.Existence, uniqueness and attractivity properties of
positive
complete trajectories for non-autonomous reaction-diffusion
problems		2007Discrete Contin. Dynam. Systems   Volume 18, Pages
537-567, 		article FILE
70
Robinson, J., Rodríguez-Bernal, A. &
Vidal-López,
A.		Pullback attractors and extremal complete trajectories for
non-autonomous reaction-diffusion problems		2007Journal of Differential Equations   Volume 238, Pages
289-337, 		article FILE
69
Arrieta, J., Cholewa, J., Dlotko, T. &
Rodríguez-Bernal,
A.		Dissipative parabolic equations in locally uniform spaces2007Mathematische Nachrichten   Volume 280, Pages
16435-1663, 		article FILE
68
Rodríguez-Bernal, A. & Willie, R.Nesting inertial manifolds of reaction-diffusion equations and large diffusivity
2007Nonlinear Analysis TMA   Volume 67, Pages 70-93, articleFILE  
67
Arrieta, J., Pardo, R. & Rodríguez-Bernal, A.Bifurcation and stability of equilibria with
asymptotically
linear boundary conditions at infinity		2007Proceedings of the Royal Society of Edinburgh. Section A.
Mathematics   Volume 137, Pages 225-252, 		articleFILE  
66
Arrieta, J., Jiménez-Casas, A. &
Rodríguez-Bernal,
A.		Robin type conditions arising from concentrated potentials2007Proceedings of the Equadiff 2005, Bratislava, Slovakia
 
Pages 8 pages, 		inproceedings
65
Arrieta, J., Moya, N. & Rodríguez-Bernal, A.Dissipative dynamics of reaction diffusion equations in
R^N		2007Proceedings of the Equadiff 2005, Bratislava, Slovakia
 
Pages 10 pages, 		inproceedings
64
Arrieta, J., Pardo, R. & Rodríguez-Bernal, A.Puntos de retroceso y soluciones resonantes en ramas no
acotadas de soluciones		2007Actas del XX CEDYA, Sevilla, 2007   inproceedings
62
Arrieta, J., Rodríguez-Bernal, A. & Valero, J.Dinámica de una ecuación de
reacción-difusión con
discontinuidades		2007Actas del XX CEDYA, Sevilla, 2007   inproceedings 
61
Arrieta, J. & Rodríguez-Bernal, A.Blow-up in reaction diffusion equations with nonlinear
boundary conditions		2007Proceedings of the Equadiff 2005, Bratislava, Slovakia
 
Pages 8 pages, 		inproceedings
60
Rodríguez-Bernal, A.Perturbación y decaimiento en ecuaciones
parabólicas no
autónomas		2007Actas del XX CEDYA, Sevilla, 2007   inproceedings
59
Rodríguez-Bernal, A. & Vidal-López, A.Extremal equilibria for parabolic nonlinear reaction
diffusion equations		2007Proceedings of the Equadiff 2005, Bratislava, Slovakia
 
Pages 9 pages, 		inproceedings
58
Rodríguez-Bernal, A. & Vidal-López, A.Asymptotic behavior of positive solutions of nonautonomous
reaction-diffusion equations		2006Bol. Soc. Esp. Mat. Apl.   Volume 34, Pages 99-104, article FILE
57
Arrieta, J., Rodríguez-Bernal, A. & J.ValeroDynamics of a reaction-diffusion equation with a
discontinuous nonlinearity		2006Int. J. Bifurcation Chaos   Volume 16, Pages
2965-2984, 		article FILE
56
Rodríguez-Bernal, A. & Willie, R.Singular large diffusivity and spatial homogenization in a
non homogeneous linear parabolic problem		2005Discrete Contin. Dyn. Syst. Ser. B   Volume 5, Number
2,
Pages 385-410, 		article FILE
55
Quittner, P. & Rodríguez-Bernal, A.Complete and energy blow-up in parabolic problems with
nonlinear boundary conditions		2005Nonlinear Anal. Volume 62, Number 5, Pages 863-875,
article FILE
54
Arrieta, J., A.Jiménez-Casas &
Rodríguez-Bernal,
A.		Condiciones de Robin provenientes de potenciales
concentrados		2005Actas del XIX CEDYA, Leganés, 2005   inproceedings
53
Arrieta, J., Pardo, R. & Rodríguez-Bernal, A.Ramas no acotadas de soluciones estables en problemas
elipticos con condiciones de frontera asintóticamente
lineales		2005Actas del XIX CEDYA, Leganés, 2005   inproceedings
52
Arrieta, J. M., Jiménez-Casas, A. &
Rodríguez-Bernal, A.		Flux condition induced by concentrated reactions2005EQUADIFF 2003   Pages 293-295, World Sci. Publ.,
Hackensack, NJ, 		inproceedings
51
Arrieta, J. M. & Rodríguez-Bernal, A.Ill posed problems with supercritical nonlinearities2005EQUADIFF 2003   Pages 277-280, World Sci. Publ.,
Hackensack, NJ, 		inproceedings
50
Robinson, J. C., Rodríguez-Bernal, A. &
Vidal-López, A.		Trayectorias completas extremales para ecuaciones de
reacción
difusión no autónomas		2005Actas del XIX CEDYA, Leganés, 2005   inproceedings
49
Rodríguez-Bernal, A. & Vidal-López, A.Comportamiento asintótico de soluciones positivas de
ecuaciones de reacción difusión no autonomas		2005Actas del XIX CEDYA, Leganés, 2005   inproceedings
48
Rodríguez-Bernal, A.Parabolic equations in locally uniform spaces2005Nonlinear elliptic and parabolic problems,
Volume 64, A Special Tribute to the Work of H. Amann. Pages 421-432, Birkhäuuser, 		incollection FILE
47
Rodríguez-Bernal, A. & Vidal-López, A.Extremal equilibria and asymptotic behavior of parabolic
nonlinear reaction-diffusion equations		2005Nonlinear elliptic and parabolic problems: A Special
Tribute to the Work of H. Amann. Volume 64, Pages 509-516,
Birkhäuuser, 		incollection FILE
 
46
Arrieta, J., Rodríguez-Bernal, A. & Souplet, P.Boundedness of global solutions for nonlinear parabolic
equations involving gradient blow-up phenomena		2004Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)   Volume 3,
Number 1, Pages 1-15, 		article FILE
 
45
Arrieta, J. & Rodríguez-Bernal, A.Localization on the boundary of blow-up for
reaction-diffusion equations with nonlinear boundary
conditions		2004Comm. Partial Differential Equations   Volume 29,
Number
7-8, Pages 1127-1148, 		article FILE
44
Arrieta, J. & Rodríguez-Bernal, A.Non well posedness of parabolic equations with
supercritical
nonlinearities		2004Commun. Contemp. Math.   Volume 6, Number 5, Pages
733-764, 		article FILE
43
Arrieta, J., Cholewa, J. W., Dlotko, T. &
Rodríguez-Bernal, A.		Linear parabolic equations in locally uniform spaces2004Math. Models Methods Appl. Sci. Volume 14, Number
2, Pages 253-293, 		article FILE
42
Arrieta, J., Cholewa, J., Dlotko, T. &
Rodríguez-Bernal,
A.		Asymptotic behavior and attractors for reaction diffusion
equations in unbounded domains		2004Nonlinear Anal. Volume 56, Number 4, Pages 515-554,
article FILE
41
Popescu, L. & Rodríguez-Bernal, A.On a singularly perturbed wave equation with dynamic
boundary
conditions		2004Proc. Roy. Soc. Edinburgh Sect. A   Volume 134,
Number
2, Pages 389-413, 		article FILE
40
Arrieta, J., Cónsul, N. & Rodríguez-Bernal, A.Stable boundary layers in a diffusion problem with
nonlinear reaction at the boundary		2004Z. Angew. Math. Phys.   Volume 55, Number 1, Pages
1-14, 		article FILE
39
Arrieta, J., Jiménez-Casas, A. &
Rodríguez-Bernal, A.		Condición de flujo no homogénea como límite
de reacciones localizadas		2003Actas del XVIII CEDYA/ VIII CMA, Tarragona, Septiembre
2003.
ISBN 84-930923-2-0, Dep. Legal 910.2003   		inproceedings
38
Arrieta, J., R.Pardo & Rodríguez-Bernal, A.Problemas elipticos con condiciones de contorno
asintóticamente lineales en infinito		2003Actas del XVIII CEDYA/ VIII CMA, Tarragona, Septiembre
2003. ISBN 84-930923-2-0, Dep. Legal 910.2003   		inproceedings
37
Arrieta, J. & Rodríguez-Bernal, A.Ecuaciones en derivadas parciales supercrticas y problemas
mal planteados		2003Actas del XVIII CEDYA/ VIII CMA, Tarragona, Septiembre
2003.
ISBN 84-930923-2-0, Dep. Legal 910.2003   		inproceedings
36
Arrieta, J., Rodríguez-Bernal, A. & Vidal, A.Regiones atractoras delimitadas por puntos de equilibrio
extremales para ecuaciones de
reacción-difusión		2003Actas del XVIII CEDYA/ VIII CMA, Tarragona, Septiembre
2003.
ISBN 84-930923-2-0, Dep. Legal 910.2003   		inproceedings
35
Rodríguez-Bernal, A.Some qualitative dynamics of nonlinear boundary conditions2002Int. J. Bifur. Chaos Appl. Sci. Engrg.   Volume 12,
Number 11, Pages 2333-2342, 		article FILE
34
Rodríguez-Bernal, A.Attractors for parabolic equations with nonlinear boundary
conditions, critical exponents, and singular initial data		2002J. Differential Equations   Volume 181, Number 1,
Pages
165-196, 		article FILE
33
Jiménez-Casas, A. & Rodríguez-Bernal, A.Asymptotic behaviour for a phase field model in higher order Sobolev spaces2002Rev. Mat. Complut.   Volume 15, Number 1, Pages
213-248, 		article FILE
32
Arrieta, J., Cónsul, N. & Rodríguez-Bernal, A.Pattern formation from boundary reaction2002Differential equations and dynamical systems (Lisbon,
2000)
  Volume 31, Pages 13-18, Amer. Math. Soc., 		incollection FILE
31
Rodríguez-Bernal, A. & Zuazua, E.Parabolic singular limit of a wave equation with localized
interior damping		2001Commun. Contemp. Math.   Volume 3, Number 2, Pages
215-257, 		article FILE
30
Arrieta, J., Quittner, P. & Rodríguez-Bernal, A.Parabolic problems with nonlinear dynamical boundary
conditions and singular initial data		2001Differential Integral Equations   Volume 14, Number
12,
Pages 1487-1510, 		article FILE
29
Rodríguez-Bernal, A. & Tajdine, A.Nonlinear balance for reaction-diffusion equations under
nonlinear boundary conditions: dissipativity and blow-up		2001J. Differential Equations   Volume 169, Number 2,
Pages
332-372, 		article FILE
28
Rodríguez-Bernal, A. & Tajdine, A.Dynamics of reaction diffusion equations under nonlinear
boundary conditions		2000C. R. Acad. Sci. Paris Sér. I Math.   Volume
331,
Number
7, Pages 531-536, 		article FILE
27
Arrieta, J. M., Carvalho, A. N. & Bernal, A. R.Attractors of parabolic problems with nonlinear boundary
conditions. Uniform Bounds		2000Comm. Partial Differential Equations   Volume 25,
Number
1-2, Pages 1-37, 		article FILE
26
Arrieta, J., Carvalho, A. & Rodríguez-Bernal, A.Upper semicontinuity for attractors of parabolic problems
with localized large diffusion and nonlinear boundary
conditions		2000J. Differential Equations, Volume 168, Number 1,
Pages
33-59, 		article FILE
25
Rodríguez-Bernal, A. & Wang, B.Attractors for partly dissipative reaction diffusion
systems in R^N		2000J. Math. Anal. Appl.   Volume 252, Number 2, Pages
790-803, 		article FILE
24
Rodríguez-Bernal, A. & Wang, B.Cauchy problem for the time-dependent Ginzburg-Landau
model of superconductivity		2000Proc. Roy. Soc. Edinburgh Sect. A, Volume 130,
Number
6, Pages 1383-1404, 		article FILE
23
Arrieta, J., Carvalho, A. & Rodríguez-Bernal, A.Perturbation of the diffusion and upper semicontinuity of
attractors		1999Appl. Math. Lett.   Volume 12, Number 5, Pages 37-42,
article FILE
22
Rodríguez-Bernal, A. & Wang, B.Reduction of dimension of approximate inertial manifolds
by symmetry		1999Bull. Austral. Math. Soc.   Volume 60, Number 2,
Pages
319-330, 		article FILE
 
21
Arrieta, J., Carvalho, A. & Rodríguez-Bernal, A.Parabolic problems with nonlinear boundary conditions and
critical nonlinearities		1999J. Differential Equations   Volume 156, Number 2,
Pages
376-406, 		article FILE
20
Jiménez-Casas, A. & Rodríguez-Bernal, A.Finite-dimensional asymptotic behavior in a thermosyphon
including the Soret effect		1999Math. Methods Appl. Sci.   Volume 22, Number 2, Pages
117-137, 		article FILE
19
Rodríguez-Bernal, A., Wang, B. & Willie, R.Asymptotic behaviour of time-dependent Ginzburg-Landau
equations of superconductivity		1999Math. Methods Appl. Sci.   Volume 22, Number 18,
Pages 1647-1669, 		article FILE
18
Jiménez-Casas, A. & Rodríguez-Bernal, A.Linear stability analysis and metastable solutions for a
phase-field model		1999Proc. Roy. Soc. Edinburgh Sect. A   Volume 129,
Number
3, Pages 571-600, 		article FILE
17
Arrieta, J., Carvalho, A. & Rodríguez-Bernal, A.Critical nonlinearities at the boundary1998C. R. Acad. Sci. Paris Sér. I Math. Volume
327, Number 4, Pages 353-358, 		article FILE
16
Rodríguez-Bernal, A. & Vleck, E. V.Complex oscillations in a closed thermosyphon1998Int. J. Bifur. Chaos Appl. Sci. Engrg.   Volume 8,
Number 1, Pages 41-56, 		article FILE
15
Rodríguez-Bernal, A. & Vleck, E. V.Diffusion induced chaos in a closed loop thermosyphon1998SIAM J. Appl. Math.   Volume 58, Number 4, Pages
1072-1093 (electronic), 		article FILE
14
Rodríguez-Bernal, A.Localized spatial homogenization and large diffusion1998SIAM J. Math. Anal.   Volume 29, Number 6, Pages
1361-1380 (electronic), 		article FILE
13
Jiménez-Casas, A. & Rodríguez-Bernal, A.Asymptotic dynamics of a closed thermosyphon1998XV Congress on Differential Equations and Applications/V
Congress on Applied Mathematics, Vol. I, II (Spanish) (Vigo,
1997)
  Volume 9, Pages 483-488, Univ. Vigo, Vigo, 		inproceedings
12
Carvalho, A., Oliva, S., Pereira, A. &
Rodríguez-Bernal,
A.		Attractors for parabolic problems with nonlinear boundary
conditions		1997J. Math. Anal. Appl.   Volume 207, Number 2, Pages
409-461, 		article FILE
11
Rodríguez-Bernal, A. & Zuazua, E.Parabolic singular limit of a wave equation with localized
boundary damping		1995Discrete Contin. Dynam. Systems   Volume 1, Number 3,
Pages 303-346, 		article FILE
10
Rodríguez-Bernal, A.Attractors and inertial manifolds for the dynamics of a
closed thermosyphon		1995J. Math. Anal. Appl.   Volume 193, Number 3, Pages
942-965, 		article FILE
9
Jiménez-Casas, A. & Rodríguez-Bernal, A.Linear stability of some phase field models. Asymptotic
behavior		1995XIV CEDYA/IV Congress of Applied Mathematics
(Spanish)(Vic,
1995)   Pages 5 pp. (electronic), Univ. Barcelona, 		inproceedings
8
Rodríguez-Bernal, A.On the construction of inertial manifolds under symmetry
constraints. II. O(2) constraint and inertial manifolds on thin
domains		1993J. Math. Pures Appl.   Volume 72, Number 1, Pages
57-79, 		article FILE
 
7
Rodríguez-Bernal, A.Inertial manifolds, symmetry and applications to PDEs1993Mathematics, climate and environment (Madrid, 1991)
Volume 27, Pages 296-306, Masson, 		incollection
6
Rodríguez-Bernal, A.Inertial manifolds, symmetry and applications: dynamics on
thin domains		1993International Conference on Differential Equations, Vol.
1, 2
(Barcelona, 1991) Pages 838-844, World Sci.
Publishing, 		inproceedings
5
Rodríguez-Bernal, A.On the construction of inertial manifolds under symmetry
constraints. I. Abstract results		1992Nonlinear Anal.   Volume 19, Number 7, Pages 687-700,
article FILE
4
Rodríguez-Bernal, A.Initial value problem and asymptotic low-dimensional
behavior
in the Kuramoto-Velarde equation		1992Nonlinear Anal.   Volume 19, Number 7, Pages 643-685,
article FILE
3
Rodríguez-Bernal, A.Inertial manifolds for dissipative semiflows in Banach spaces1990Appl. Anal.   Volume 37, Number 1-4, Pages 95-141, article FILE
2
Rodríguez-Bernal, A.Sistemas dinámicos en dimensión infinita:
aplicaciones a la
ecuación de Kuramoto-Velarde		1990PhD. Thesis. U. Complutense de Madrid, Spain
phdthesis  
1
Rodríguez-Bernal, A.Remarks on the Kuramoto-Velarde equation1988Synergetics, order and chaos (Madrid, 1987)   Pages
655-670, World Sci. Publishing, 		inproceedings