Pullback exponential attractors for evolution processes in banach spaces: Theoretical results

We construct exponential pullback attractors for time continuous asymptotically compact evolution processes in Banach spaces and derive estimates on the fractal dimension of the attractors. We also discuss the corresponding results for autonomous processes.

Detalles Bibliográficos
Autores: Carvalho, A.N., Sonner, S.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/528
Acceso en línea:http://hdl.handle.net/20.500.11824/528
Access Level:acceso abierto
Palabra clave:Exponential attractors
Fractal dimension
Non-autonomous dynamical systems
Pullback attractors
Descripción
Sumario:We construct exponential pullback attractors for time continuous asymptotically compact evolution processes in Banach spaces and derive estimates on the fractal dimension of the attractors. We also discuss the corresponding results for autonomous processes.