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Ergodicity for a class of semilinear stochastic partial differential equations (1812.04591v1)
Published 11 Dec 2018 in math.PR
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.