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Mathematics > Probability

arXiv:1812.04591 (math)
[Submitted on 11 Dec 2018]

Title:Ergodicity for a class of semilinear stochastic partial differential equations

Authors: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.
Subjects: Probability (math.PR)
MSC classes: 60H15 35B40 35R60 37A25
Cite as: arXiv:1812.04591 [math.PR]
  (or arXiv:1812.04591v1 [math.PR] for this version)
  https://doi.org/10.48550/arXiv.1812.04591

Submission history

From: Rangrang Zhang [view email]
[v1] Tue, 11 Dec 2018 18:22:45 UTC (13 KB)
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