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arXiv · 1812.04591

Ergodicity for a class of semilinear stochastic partial differential equations

Zhao Dong·Rangrang Zhang
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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.

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Zhao Dong, Rangrang Zhang. 2018-12-11. Ergodicity for a class of semilinear stochastic partial differential equations. https://arxiv.org/abs/1812.04591

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