The Ergodicity of Stochastic Partial Differential Equations with Levy Jump  

The Ergodicity of Stochastic Partial Differential Equations with Levy Jump

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作  者:Guo Li ZHOU Zhen Ting HOU 

机构地区:[1]College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China [2]School of Mathematics, Central South University, Changsha 410075, P. R. China

出  处:《Acta Mathematica Sinica,English Series》2011年第12期2415-2436,共22页数学学报(英文版)

基  金:Supported by the National Science Foundation of China (Grant Nos. 90820302, 11071258/A0110) and Fundamental Research Funds for the Central Universities (Grant No. CDJRC10100011)

摘  要:In this article, the authors prove the uniqueness in law of a class of stochastic equations in infinite dimension, then we apply it to establish the existence and uniqueness of invariant measure of the generalized stochastic partial differential equation perturbed by Levy process.In this article, the authors prove the uniqueness in law of a class of stochastic equations in infinite dimension, then we apply it to establish the existence and uniqueness of invariant measure of the generalized stochastic partial differential equation perturbed by Levy process.

关 键 词:Stochastic partial differential equation Levy processes 

分 类 号:O211.63[理学—概率论与数理统计] TP311.12[理学—数学]

 

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