Weak mean random attractors for non-local random and stochastic reaction-diffusion equations

In this paper, we prove the existence of weak pullback mean random attractors for a non-local stochastic reaction-diffusion equation with a nonlinear multiplicative noise. The existence and uniqueness of solutions and weak pullback mean random attractors are also established for a deterministic non-...

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Detalhes bibliográficos
Autores: Caballero, Rubén, Marín Rubio, Pedro, Valero, José
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/162565
Acesso em linha:https://hdl.handle.net/11441/162565
https://doi.org/10.1142/S0219493722400160
Access Level:acceso abierto
Palavra-chave:mean random attractor
pullback attractor
stochastic reaction-diffusion equation
non-local equation
Descrição
Resumo:In this paper, we prove the existence of weak pullback mean random attractors for a non-local stochastic reaction-diffusion equation with a nonlinear multiplicative noise. The existence and uniqueness of solutions and weak pullback mean random attractors are also established for a deterministic non-local reaction-diffusion equations with random initial data.