Transportation cost inequalities for stochastic reaction-diffusion equations with L\'evy noises and non-Lipschitz reaction terms
Probability
2019-11-07 v1
Abstract
For stochastic reaction-diffusion equations with L\'evy noises and non-Lipschitz reaction terms, we prove that transportation cost inequalities hold for their invariant probability measures and for their process-level laws on the path space with respect to the -metric. The proofs are based on the Galerkin approximations.
Keywords
Cite
@article{arxiv.1911.02180,
title = {Transportation cost inequalities for stochastic reaction-diffusion equations with L\'evy noises and non-Lipschitz reaction terms},
author = {Yutao Ma and Ran Wang},
journal= {arXiv preprint arXiv:1911.02180},
year = {2019}
}
Comments
16 pages