Articles

ASYMPTOTICS OF THE SOLUTIONS TO STOCHASTIC WAVE EQUATIONS DRIVEN BY A NON-GAUSSIAN LEVY PROCESS

  • Yiming JIANG ,
  • Suxin WANG ,
  • Xingchun WANG
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  • 1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China;
    2. College of Science, Civil Aviation University of China, Tianjin 300300, China;
    3. School of International Trade and Economics, University of International Business and Economics, Beijing 100029, China

Received date: 2018-06-30

  Revised date: 2018-11-12

  Online published: 2019-06-27

Supported by

Y. Jiang is supported by National Natural Science Foundation of China (11571190) and the Fundamental Research Funds for the Central Universities; S. Wang is supported by the China Scholarship Council (201807315008), National Natural Science Foundation of China (11501565), and the Youth Project of Humanities and Social Sciences of Ministry of Education (19YJCZH251); and X. Wang is supported by National Natural Science Foundation of China (11701084 and 11671084).

Abstract

In this article, we consider the long time behavior of the solutions to stochastic wave equations driven by a non-Gaussian Lévy process. We shall prove that under some appropriate conditions, the exponential stability of the solutions holds. Finally, we give two examples to illustrate our results.

Cite this article

Yiming JIANG , Suxin WANG , Xingchun WANG . ASYMPTOTICS OF THE SOLUTIONS TO STOCHASTIC WAVE EQUATIONS DRIVEN BY A NON-GAUSSIAN LEVY PROCESS[J]. Acta mathematica scientia, Series B, 2019 , 39(3) : 731 -746 . DOI: 10.1007/s10473-019-0307-2

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