Artículo
Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms
Autor/es | Caraballo Garrido, Tomás
Herrera Cobos, Marta Marín Rubio, Pedro |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2015 |
Fecha de depósito | 2015-09-30 |
Publicado en |
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Resumen | This paper is devoted to study the asymptotic behavior of a time-dependent parabolic equation with nonlocal diffusion and nonlinear terms with sublinear growth. Namely, we extend some previous results from the literature, ... This paper is devoted to study the asymptotic behavior of a time-dependent parabolic equation with nonlocal diffusion and nonlinear terms with sublinear growth. Namely, we extend some previous results from the literature, obtaining existence, uniqueness, and continuity results, analyzing the stationary problem and decay of the solutions of the evolutionary problem, and finally, under more general assumptions, ensuring the existence of pullback attractors for the associated dynamical system in both L2L2 and H1H1 norms. Relationships among these objects are established using regularizing properties of the equation. |
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