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-di¤usion equation with a nonlinear multiplicative noise. The existence and unique- ness of solutions and weak pullback mean random attractors is also established for a deterministic non-...

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Detalles Bibliográficos
Autores: Caballero-Toro, Rubén, Marín-Rubio, Pedro, Valero, José
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Miguel Hernández de Elche
Repositorio:REDIUMH. Depósito Digital de la UMH
OAI Identifier:oai:dspace.umh.es:11000/38202
Acceso en línea:https://hdl.handle.net/11000/38202
Access Level:acceso abierto
Palabra clave:Mean random attractor
Pullback attractor
Stochastic reaction-diffusion equation
Non-local equatio
Descripción
Sumario:In this paper, we prove the existence of weak pullback mean random attractors for a non-local stochastic reaction-di¤usion equation with a nonlinear multiplicative noise. The existence and unique- ness of solutions and weak pullback mean random attractors is also established for a deterministic non-local reaction-di¤usion equations with random initial data.