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Tesis Doctoral
Existencia, unicidad y comportamiento asintótico en algunos sistemas dinámicos deterministas y estocásticos
(2003-05-23)
La memoria está compuesta de dos partes: la primera se enmarca dentro del Análisis Estocástico y la segunda parte en la Teoría de Atractores. Más concretamente, en el primer bloque de la tesis se presentan resultados ...
Artículo
Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations
(Cambridge University Press, 2018-10)
In this paper, the existence and uniqueness of weak and strong solutions for a non-autonomous nonlocal reaction-diffusion equation is proved. Next, the existence of minimal pullback attractors in the L2 -norm in the ...
Artículo
Robustness of nonautonomous attractors for a family of nonlocal reaction–diffusion equations without uniqueness
(Springer, 2015-06-17)
In this paper, we consider a non-autonomous nonlocal reactiondiffusion equation with a small perturbation in the nonlocal diffusion term and the non-autonomous force. Under the assumptions imposed on the viscosity function, ...
Artículo
Weak pullback attractors of setvalued processes
(2003)
Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and ...
Artículo
Robustness of time-dependent attractors in H1-norm for nonlocal problems
(American Institute of Mathematical Sciences, 2018-05)
In this paper, the existence of regular pullback attractors as well as their upper semicontinuous behaviour in H1-norm are analysed for a parameterized family of non-autonomous nonlocal reaction-diffusion equations without ...
Artículo
Asymptotic behaviour of nonlocal p-Laplacian reaction-diffusion problems
(Elsevier, 2018-03)
In this paper, we focus on studying the existence of attractors in the phase spaces L2(Ω) and Lp(Ω) (among others) for time-dependent p-Laplacian equations with nonlocal diffusion and nonlinearities of reaction-diffusion ...