Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (8): 1067-1078.doi: https://doi.org/10.1007/s10483-014-1845-7

• 论文 • 上一篇    

Exponential stability of stochastic generalized porous media equations with jump

郭柏林1, 周国立2   

  1. 1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China;
    2. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China
  • 收稿日期:2013-09-06 修回日期:2014-01-25 出版日期:2014-08-01 发布日期:2014-08-01
  • 通讯作者: Guo-li ZHOU, Ph.D., E-mail: zhouguoli736@126.com E-mail:zhouguoli736@126.com
  • 基金资助:
    Project supported by the Tianyuan Foundation of National Natural Science of China (No. 11126079), the China Postdoctoral Science Foundation (No. 2013M530559), and the Fundamental Research Funds for the Central Universities (No.CDJRC10100011)

Exponential stability of stochastic generalized porous media equations with jump

Bo-ling GUO1, Guo-li ZHOU2   

  1. 1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China;
    2. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China
  • Received:2013-09-06 Revised:2014-01-25 Online:2014-08-01 Published:2014-08-01
  • Supported by:
    Project supported by the Tianyuan Foundation of National Natural Science of China (No. 11126079), the China Postdoctoral Science Foundation (No. 2013M530559), and the Fundamental Research Funds for the Central Universities (No.CDJRC10100011)

摘要: Stochastic generalized porous media equation with jump is considered. The aim is to show the moment exponential stability and the almost certain exponential stability of the stochastic equation.

关键词: stochastic generalized porous media equation, jump process, stability

Abstract: Stochastic generalized porous media equation with jump is considered. The aim is to show the moment exponential stability and the almost certain exponential stability of the stochastic equation.

Key words: stochastic generalized porous media equation, jump process, stability

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