Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (3): 925-933.doi: 10.1016/S0252-9602(11)60286-5

• Articles • Previous Articles     Next Articles

THE ERGODICITY OF STOCHASTIC GENERALIZED POROUS MEDIA EQUATIONS WITH LÉVY JUMP

 ZHOU Guo-Li1,2, HOU Zhen-Ting1*   

  1. 1. School of Mathematics, Central South University, Changsha 410075, China|

    2. College of Mathematics and Statistis, Changqing University, Chongqing 401331, China
  • Online:2011-05-20 Published:2011-05-20
  • Contact: Hou Zhenting E-mail:zhouguoli736@126.com; zthou@csu.edu.cn
  • Supported by:

    The work was supported by the National Science Foundation of China (10671212; 90820302) and the National Science Foundation of Hunan Province.

Abstract:

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.

Key words: stochastic porous medium equation, Lévy processes, ergodicity

CLC Number: 

  • 76S05
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