Stability and random attractors for a reaction-diffusion equation with multiplicative noise
We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of multiplicative white noise (in the sense of Itˆo) stabilizes the stationary solution x 0. We show in addition that this stochastic equation has a finite-dimensional random attractor, and from our resul...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2000 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/23712 |
| Acesso em linha: | http://hdl.handle.net/11441/23712 https://doi.org/10.3934/dcds.2000.6.875 |
| Access Level: | acceso abierto |
| Palavra-chave: | Random attractors Hausdorff dimension stochastic stabilization Chafee-Infante equation |
| Resumo: | We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of multiplicative white noise (in the sense of Itˆo) stabilizes the stationary solution x 0. We show in addition that this stochastic equation has a finite-dimensional random attractor, and from our results conjecture a possible bifurcation scenario. |
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