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Ergodicity for a class of semilinear stochastic partial differential equations |
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| Authors: | Zhao Dong Rangrang Zhang |
| Affiliation: | 1. RCSDS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190 China;2. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081 China |
| Abstract: | In this paper, we establish the existence and uniqueness of invariant measures for a class of semilinear stochastic partial differential equations driven by multiplicative noise on a bounded domain. The main results can be applied to SPDEs of various types such as the stochastic Burgers equation and the reaction-diffusion equations perturbed by space-time white noise. |
| Keywords: | invariant measures irreducibility semilinear partial differential equations space-time white noise strong Feller property |