Existence and Asymptotic Behaviour for Stochastic Heat Equations with Multiplicative Noise in Materials With Memory
The existence and uniqueness of solutions for a stochastic reaction-diffusion equation with infinite delay is proved. Sufficient conditions ensuring stability of the zero solution are provided and a possibility of stabilization by noise of the deterministic counterpart of the model is studied.
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2007 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/23660 |
| Acceso en línea: | http://hdl.handle.net/11441/23660 https://doi.org/10.3934/dcds.2007.18.253 |
| Access Level: | acceso abierto |
| Palabra clave: | Stochastic heat equation materials with memory mean square exponential stability stabilization |
| Sumario: | The existence and uniqueness of solutions for a stochastic reaction-diffusion equation with infinite delay is proved. Sufficient conditions ensuring stability of the zero solution are provided and a possibility of stabilization by noise of the deterministic counterpart of the model is studied. |
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