Pullback attractor for a dynamic boundary non-autonomous problem with Infinite delay

In this work we prove the existence of solution for a p-Laplacian non-autonomous problem with dynamic boundary and infinite delay. We ensure the existence of pullback attractor for the multivalued process associated to the non-autonomous problem we are concerned. Finally, we also prove the existence...

Descripción completa

Detalles Bibliográficos
Autores: Samprogna, Rodrigo Antonio, Caraballo Garrido, Tomás
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2018
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/78447
Acceso en línea:https://hdl.handle.net/11441/78447
https://doi.org/10.3934/dcdsb.2017195
Access Level:acceso abierto
Palabra clave:Pullback attractors
Unbounded delays
Multivalued process
Dynamical boundary
p-Laplacian
Asymptotic behavior of solutions
Descripción
Sumario:In this work we prove the existence of solution for a p-Laplacian non-autonomous problem with dynamic boundary and infinite delay. We ensure the existence of pullback attractor for the multivalued process associated to the non-autonomous problem we are concerned. Finally, we also prove the existence of a more general attractor for the problem known as D-pullback attractor.