Transportation Cost Inequalities for Stochastic Reaction-Diffusion Equations with Levy Noises and Non-Lipschitz Reaction Terms
Transportation Cost Inequalities for Stochastic Reaction-Diffusion Equations with Levy Noises and Non-Lipschitz Reaction Terms
复制标题
具有 Levy 噪声和非 Lipschitz 反应项的随机反应扩散方程的运输成本不等式
DOI：
10.1007/s10114-020-9031-z
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发表时间：
2020
影响因子：
0.7
通讯作者：
Wang Ran
中科院分区：
文献类型：
--
作者：
Ma Yu Tao;Wang Ran
对于带有Lévy噪声和非Lipschitz反应项的随机反应扩散方程，证明了关于L1-度量，对于其不变概率测度和其在路径空间上的过程级律，W1 H运输费用不等式成立.证明是基于Galerkin近似。
For stochastic reaction-diffusion equations with Lévy noises and non-Lipschitz reaction terms, we prove thatW1Htransportation cost inequalities hold for their invariant probability measures and for their process-level laws on the path space with respect to theL1-metric. The proofs are based on the Galerkin approximations.