Moment estimates for invariant measures of stochastic Burgers equations

Advances in Difference Equations

article

Shi, Yu¹  Liu, Bin² 

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

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

DOI  :  10.1186/s13662-019-2486-5

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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】

CC BY