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

• Articles • Previous Articles    

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)

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

2010 MSC Number: 

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