Artículo
Stability and random attractors for a reaction-diffusion equation with multiplicative noise
Autor/es | Caraballo Garrido, Tomás
Langa Rosado, José Antonio Robinson, James C. |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2000 |
Fecha de depósito | 2015-04-08 |
Publicado en |
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Resumen | 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 ... 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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