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-...

Descripción completa

Detalles Bibliográficos
Autores: Caballero, Rubén, Marín Rubio, Pedro, Valero, José
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/162565
Acceso en línea:https://hdl.handle.net/11441/162565
https://doi.org/10.1142/S0219493722400160
Access Level:acceso abierto
Palabra clave:mean random attractor
pullback attractor
stochastic reaction-diffusion equation
non-local equation
Descripción
Sumario: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.