Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces

We derive general existence theorems for random pullback exponential attractors and deduce explicit bounds for their fractal dimension. The results are formulated for asymptotically compact random dynamical systems in Banach spaces.

Detalhes bibliográficos
Autores: Caraballo Garrido, Tomás, Sonner, Stefanie
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2017
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/64149
Acesso em linha:http://hdl.handle.net/11441/64149
https://doi.org/10.3934/dcds.2017277
Access Level:acceso abierto
Palavra-chave:Random dynamical systems
Exponential attractors
Random pullback attractors
Fractal dimension
Descrição
Resumo:We derive general existence theorems for random pullback exponential attractors and deduce explicit bounds for their fractal dimension. The results are formulated for asymptotically compact random dynamical systems in Banach spaces.