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Uniform Exponential Ergodicity of Stochastic Dissipative Systems |
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| Authors: | Beniamin Goldys Bohdan Maslowski |
| Institution: | (1) School of Mathematics, The University of New South Wales, Sydney, 2052, Australia;(2) Institute of Mathematics, Academy of Sciences, Zitna 25, 115 67 Praha 1, Czech Republic |
| 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  d with d 3. |
| Keywords: | dissipative system compact semigroup exponential ergodicity spectral gap |
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