B. Goldys, School of Mathematics, The University of New South Wales, Sydney 2052, Australia, e-mail: B.Goldys@unsw.edu.au; B. Maslowski, Institute of Mathematics, Academy of Sciences, Zitna 25, 115 67 Praha 1, Czech Republic, e-mail: maslow@math.cas.cz
Abstract: We study ergodic properties of stochastic dissipative systems with additive noise. We show that the system is uniformly exponentially ergodic provided the growth of nonlinearity at infinity is faster than linear. The abstract result is applied to the stochastic reaction diffusion equation in $\Bbb R^d$ with $d\le3$.
Keywords: dissipative system, compact semigroup, exponential ergodicity, spectral gap
Classification (MSC 2000): 60H15, 60J99, 37A30, 47A35
Full text available as PDF (smallest), as compressed PostScript (.ps.gz) or as raw PostScript (.ps).
Access to the full text of journal articles on this site is restricted to the subscribers of Myris Trade.
To activate your access, please contact Myris Trade at myris@myris.cz.
Subscribers of Springer (formerly Kluwer) need to access the articles on their site, which is http://www.springeronline.com/10587.
