THE ERGODICITY OF STOCHASTIC GENERALIZED POROUS MEDIA EQUATIONS WITH LVY JUMP  

作　　者：周国立 侯振挺 

机构地区：[1]School of Mathematics Central South University [2]College of Mathematics and Statistis, Changqing University

出　　处：《Acta Mathematica Scientia》2011年第3期925-933,共9页数学物理学报（B辑英文版）

基　　金：supported by the National Science Foundation of China(10671212;90820302);the National Science Foundation of Hunan Province

摘　　要：In this article,we first prove the existence and uniqueness of the solution to the stochastic generalized porous medium equation perturbed by Lévy process,and then show the exponential convergence of（pt）t≥0 to equilibrium uniform on any bounded subset in H.In this article,we first prove the existence and uniqueness of the solution to the stochastic generalized porous medium equation perturbed by Lévy process,and then show the exponential convergence of（pt）t≥0 to equilibrium uniform on any bounded subset in H.

关 键 词：stochastic porous medium equation Lévy processes ERGODICITY 

分 类 号：O211.63[理学—概率论与数理统计]