Artículo
On the robustness of pullback attractors for a nonlocal reaction-diffusion equation under perturbation
Autor/es | Caballero, Rubén
Marín Rubio, Pedro Valero, José |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2022-06-15 |
Fecha de depósito | 2024-09-17 |
Publicado en |
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Resumen | A parametric family of reaction-diffusion equations with
nonlocal viscosity is considered. Existence of solutions and actually of
pullback attractors is known from previous works. In this paper we
obtain a robustness ... A parametric family of reaction-diffusion equations with nonlocal viscosity is considered. Existence of solutions and actually of pullback attractors is known from previous works. In this paper we obtain a robustness result of the attractors toward the corresponding minimal pullback attractor of the limiting problem. This result extends the ones obtained in [5]. Actually here all terms (reactions, external forces and nonlocal viscosity functions) may vary with the parameter. The upper semicontinuous convergence of attractors is obtained under rather general assumptions and in a fully non-autonomous context using the framework of tempered universes. |
Cita | Caballero, R., Marín Rubio, P. y Valero, J. (2022). On the robustness of pullback attractors for a nonlocal reaction-diffusion equation under perturbation. Pure and Applied Functional Analysis (PAFA), 7 (4), 1141-1157. |
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