Stabilization of Stationary Solutions of Evolution Equations by Noise
We investigate the existence, uniqueness and exponential stability of non-constant stationary solutions of stochastic semilinear evolution equations. Our main result shows, in particular, that noise can have a stabilization effect on deterministic equations. Moreover, we do not require any commutati...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/23716 |
| Acesso em linha: | http://hdl.handle.net/11441/23716 https://doi.org/10.3934/dcdsb.2006.6.1199 |
| Access Level: | acceso abierto |
| Palavra-chave: | Random dynamical systems stationary solutions exponential stability stabilization |
| Resumo: | We investigate the existence, uniqueness and exponential stability of non-constant stationary solutions of stochastic semilinear evolution equations. Our main result shows, in particular, that noise can have a stabilization effect on deterministic equations. Moreover, we do not require any commutative condition on the noise terms. |
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