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

被引:2
|
作者
Yu Tao MA [1 ]
Ran WANG [2 ]
机构
[1] School of Mathematical Sciences & Lab Math Com Sys, Beijing Normal University
[2] School of Mathematics and Statistics, Wuhan
关键词
D O I
暂无
中图分类号
O211.63 [随机微分方程];
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.
引用
收藏
页码:121 / 136
页数:16
相关论文
共 50 条
  • [31] Stochastic systems of diffusion equations with polynomial reaction terms
    Du Pham
    Phuong Nguyen
    ASYMPTOTIC ANALYSIS, 2016, 99 (1-2) : 125 - 161
  • [32] Phase analysis for a family of stochastic reaction-diffusion equations
    Khoshnevisan, Davar
    Kim, Kunwoo
    Mueller, Carl
    Shiu, Shang-Yuan
    ELECTRONIC JOURNAL OF PROBABILITY, 2023, 28
  • [33] Stochastic Reaction-diffusion Equations Driven by Jump Processes
    Zdzisław Brzeźniak
    Erika Hausenblas
    Paul André Razafimandimby
    Potential Analysis, 2018, 49 : 131 - 201
  • [34] On stochastic reaction-diffusion equations with singular force term
    Alabert, A
    Gyöngy, I
    BERNOULLI, 2001, 7 (01) : 145 - 164
  • [35] Averaging principle for a class of stochastic reaction-diffusion equations
    Cerrai, Sandra
    Freidlin, Mark
    PROBABILITY THEORY AND RELATED FIELDS, 2009, 144 (1-2) : 137 - 177
  • [36] Stabilization by noise for a class of stochastic reaction-diffusion equations
    Sandra Cerrai
    Probability Theory and Related Fields, 2005, 133 : 190 - 214
  • [37] Stochastic Reaction-diffusion Equations Driven by Jump Processes
    Brzezniak, Zdzislaw
    Hausenblas, Erika
    Razafimandimby, Paul Andre
    POTENTIAL ANALYSIS, 2018, 49 (01) : 131 - 201
  • [38] Wave equations and reaction-diffusion equations with several nonlinear source terms
    刘亚成
    徐润章
    于涛
    AppliedMathematicsandMechanics(EnglishEdition), 2007, (09) : 1209 - 1218
  • [39] Wave equations and reaction-diffusion equations with several nonlinear source terms
    Ya-cheng Liu
    Run-zhang Xu
    Tao Yu
    Applied Mathematics and Mechanics, 2007, 28
  • [40] Nonlinear filtering theory for stochastic reaction-diffusion equations
    Hobbs, SL
    Sritharan, SS
    STOCHASTIC PROCESSES AND FUNCTIONAL ANALYSIS, IN CELEBRATION OF M M RAO'S 65TH BIRTHDAY, 1997, 186 : 219 - 234