Transportation Cost Inequalities for Stochastic Reaction-Diffusion Equations with Lévy Noises and Non-Lipschitz Reaction Terms

被引：0
|
作者：
Yu Tao Ma
Ran Wang
机构：
[1] Beijing Normal University,School of Mathematical Sciences & Lab. Math. Com. Sys.
[2] Wuhan University,School of Mathematics and Statistics
来源：
Acta Mathematica Sinica, English Series | 2020年 / 36卷
关键词：
Stochastic reaction-diffusion equation; poisson random measure; transportation cost inequality; 28A35; 60E15;
D O I：
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中图分类号：
学科分类号：
摘要：
For stochastic reaction-diffusion equations with Lévy noises and non-Lipschitz reaction terms, we prove that W1H transportation cost inequalities hold for their invariant probability measures and for their process-level laws on the path space with respect to the L1-metric. The proofs are based on the Galerkin approximations.
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页码：121 / 136
页数：15
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