22/11/2023
14:00
Palestrante: José Valero (UMH)
https://sites.google.com/usp.br/evol-eq-and-dyn-systems
Responsável: Estefani Moraes Moreira (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Modo: À distância
Resumo: We study a nonlocal reaction-di§usion equation governed by a fractional Laplacian. First, we consider the case when the domain is bounded. We prove the strong convergence of solutions of the equation governed by the fractional Laplacian to the solutions of the classical equation governed by the standard Laplacian, when the fractional parameter grows to 1. Then, in the autonomous situation, we establish the upper semicontinuity of global attractors with respect to the attractor of the limit problem. Second, we study the situation when the domain is the whole space ℝn. In this case, we prove the convergence of solutions with respect to the weak topology.
Link: No SITE