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Artículo
Pullback Attractors for Non-Autonomous Reaction-Diffusion Equations with Dynamical Boundary Conditions
(Elsevier, 2011)
In this paper we prove the existence and uniqueness of a weak solution for a non-autonomous reaction–diffusion model with dynamical boundary conditions. After that, a continuous dependence result is established via an ...
Artículo
H2-boundedness of the pullback attractor for a non-nutonomous reaction-diffusion equation
(2010)
We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general result about H2-boundedness of invariant sets for an evolution process. Then, as a consequence, we ...
Artículo
Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
(2013)
The main aim of this paper is to analyse the asymptotic behaviour of a non-autonomous integrodifferential parabolic equation of diffusion type with a memory term, expressed by convolution integrals involving infinite ...
Artículo
Artículo
Regularity Results and Exponential Growth for Pullback Attractors of a Non-Autonomous Reaction-Diffusion Model with Dynamical Boundary Conditions
(Elsevier, 2014)
In this paper, we prove some regularity results for pullback attractors of a non-autonomous reaction–diffusion model with dynamical boundary conditions considered in Anguiano (2011). Under certain assumptions of the nonlinear ...
Artículo
Pullback attractors for reaction-diffusion equations in some unbounded domains with an H-1 -valued non-autonomous forcing term and without uniqueness of solutions
(2010)
The existence of a pullback attractor for a reaction-diffusion equations in an unbounded domain containing a non-autonomous forcing term taking values in the space H−1, and with a continuous nonlinearity which does not ...
Artículo
An exponential growth condition in H^2 for the pullback attractor of a non-autonomous reaction-diffusion equation
(2001)
Some exponential growth results for the pullback attractor of a reaction-diffusion when time goes to ¡1 are proved in this paper. First, a general result about Lp\H1 0 exponential growth is established. Then, under ...