Article
Stabilization of Stationary Solutions of Evolution Equations by Noise
Author/s | Caraballo Garrido, Tomás
Kloeden, Peter E. Schmalfuss, Björn |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2006 |
Deposit Date | 2015-04-08 |
Published in |
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Abstract | 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 ... 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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