English

Exponential mixing for SPDEs driven by highly degenerate L\'evy noises

Probability 2019-11-13 v1

Abstract

By a coupling method, we prove that a family of stochastic partial differential equations (SPDEs) driven by highly degenerate pure jump L\'evy noises are exponential mixing. These pure jump L\'evy noises include α\alpha-stable process with α(0,2)\alpha \in (0,2)

Keywords

Cite

@article{arxiv.1510.01902,
  title  = {Exponential mixing for SPDEs driven by highly degenerate L\'evy noises},
  author = {Xiaobin Sun and Yingchao Xie and Lihu Xu},
  journal= {arXiv preprint arXiv:1510.01902},
  year   = {2019}
}