Publications (and some PDF files)

#
AuthorTitleYearJournal/ProceedingsReftypeFILE/URL
132
Cholewa, J. &
Rodríguez-Bernal, A.		On linear
higher order parabolic equations in Morrey space		2023Analysis and Applications, vol. 21, 1561-1608articleFILE
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
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
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
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
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
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
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
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
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
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
63
Rodríguez-Bernal, A.Perturbación y  
decaimiento en ecuaciones parab'olicas no autonomas
2007
Actas 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