Random attractors for stochastic delay wave equations on Rn with linear memory nad nonlinear damping
A non-autonomous stochastic delay wave equation with linear memory and nonlinear damping driven by additive white noise is considered on the unbounded domain Rn. We establish the existence and uniqueness of a random attractor A that is compact in C([−h, 0]; H1 (Rn)) × C([−h, 0]; L2 (Rn)) × L2 µ(R+;...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/137475 |
| Acceso en línea: | https://hdl.handle.net/11441/137475 https://doi.org/10.3934/dcdss.2021141 |
| Access Level: | acceso abierto |
| Palabra clave: | Random attractor stochastic delay wave equation linear memory nonlinear damping pullback asymptotic compactness |
| Sumario: | A non-autonomous stochastic delay wave equation with linear memory and nonlinear damping driven by additive white noise is considered on the unbounded domain Rn. We establish the existence and uniqueness of a random attractor A that is compact in C([−h, 0]; H1 (Rn)) × C([−h, 0]; L2 (Rn)) × L2 µ(R+; H1 (Rn)) with 1 6 n 6 3. |
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