Moment estimates for invariant measures of stochastic Burgers equations

Advances in Difference Equations

Bin Liu¹  Yu Shi² 

[1] School of Mathematics and Statistics, Huazhong University of Science and Technology;School of Science, Wuhan University of Technology;

关键词: Kolmogorov operator;    Stochastic Burgers equations;    Transition semigroup;    m-Dissipative;   

DOI  :  10.1186/s13662-019-2486-5

来源: DOAJ

【 摘 要 】

Abstract In this paper, we study moment estimates for the invariant measure of the stochastic Burgers equation with multiplicative noise. Based upon an a priori estimate for the stochastic convolution, we derive regularity properties on invariant measure. As an application, we prove smoothing properties for the transition semigroup by introducing an auxiliary semigroup. Finally, the m-dissipativity of the associated Kolmogorov operator is given.

【 授权许可】

Unknown