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Asymptotic behaviour of stochastic quasi dissipative systems

Published online by Cambridge University Press:  15 August 2002

Giuseppe Da Prato
Giuseppe Da Prato*
Affiliation:
Scuola Normale Superiore di Pisa, piazza dei Cavalieri 7, 56126 Pisa, Italy; DaPrato@sms.it.
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Abstract

We prove uniqueness of the invariant measure and the exponential convergence to equilibriumfor a stochastic dissipative system whose drift is perturbed by a bounded function.

Keywords

Stochastic systemsreaction-diffusion equationsinvariant measures.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 8: A tribute to JL Lions , 2002 , pp. 587 - 602
Copyright
© EDP Sciences, SMAI, 2002

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