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Artículo
Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion
(Elsevier, 2022-08)
In this paper, the asymptotic behavior of a semilinear heat equation with long time memory and non-local diffusion is analyzed in the usual set-up for dynamical systems generated by differential equations with delay ...
Artículo
On the limit of solutions for a reaction-diffusion equation containing fractional Laplacians
(Springer, 2023-11-21)
A kind of nonlocal reaction-diffusion equations on an unbounded domain containing a fractional Laplacian operator is analyzed. To be precise, we prove the convergence of solutions of the equation governed by the fractional ...
Artículo
About the Structure of Attractors for a Nonlocal Chafee-Infante Problem
(MDPI, 2021)
In this paper, we study the structure of the global attractor for the multivalued semiflow generated by a nonlocal reaction-diffusion equation in which we cannot guarantee the uniqueness of the Cauchy problem. First, we ...
Artículo
Asymptotic behavior of nonlocal partial differential equations with long time memory
(AIMS, 2022-10-01)
In this paper, it is first addressed the well-posedness of weak solutions to a nonlocal partial differential equation with long time memory, which is carried out by exploiting the nowadays well-known technique used by ...