Transportation Cost Inequalities for Stochastic Reaction-Diffusion Equations with Lévy Noises and No

• 作 者: Yu Tao MA Ran WANG
• 机 构: School of Mathematical Sciences & Lab.Math.Com.Sys., Beijing Normal University,Beijing 100875, P.R.C
• 出 处: 数学学报（英文版）
• 发表日期: 2020年2期
• 关键词: Stochastic reaction-diffusion equation poisson random measure transportation cos

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.