Article
Non-autonomous and random attractors for delay random semilinear equations without uniqueness
Author/s | Caraballo Garrido, Tomás
Garrido Atienza, María José Schmalfuss, Björn Valero Cuadra, José |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2008 |
Deposit Date | 2015-04-08 |
Published in |
|
Abstract | We first prove the existence and uniqueness of pullback and random attractors for abstract multi-valued non-autonomous and random dynamical systems. The standard assumption of compactness of these systems can be replaced ... We first prove the existence and uniqueness of pullback and random attractors for abstract multi-valued non-autonomous and random dynamical systems. The standard assumption of compactness of these systems can be replaced by the assumption of asymptotic compactness. Then, we apply the abstract theory to handle a random reaction-diffusion equation with memory or delay terms which can be considered on the complete past defined by R−.In particular, we do not assume the uniqueness of solutions of these equations. |
Files | Size | Format | View | Description |
---|---|---|---|---|
file_1.pdf | 308.5Kb | [PDF] | View/ | |