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Ergodicity for a class of semilinear stochastic partial differential equations

Zhao Dong, Rangrang Zhang

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Source: Crossref

Published: Dec 23, 2019

DOI: 10.1002/mma.5938

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Source 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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Ergodicity for a class of semilinear stochastic partial differential equations — Mathematical Frontier Network