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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
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 ...