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

doi:10.1007/s10473-019-0307-2

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (3): 731-746.doi: 10.1007/s10473-019-0307-2

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

江一鸣¹, 王苏鑫², 王兴春³

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

收稿日期:2018-06-30 修回日期:2018-11-12 出版日期:2019-06-25 发布日期:2019-06-27
通讯作者: Suxin WANG E-mail:wangsuxinnk@163.com
作者简介:Yiming JIANG,E-mail:ymjiangnk@nankai.edu.cn;Xingchun WANG,E-mail:xchwangnk@aliyun.com
基金资助:
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).

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

Yiming JIANG¹, Suxin WANG², Xingchun WANG³

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:2018-06-30 Revised:2018-11-12 Online:2019-06-25 Published:2019-06-27
Contact: Suxin WANG E-mail:wangsuxinnk@163.com
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).

摘要/Abstract

摘要： 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.

关键词: Stochastic wave equations, non-Gaussian Lévy processes, exponential stability, second moment stability

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.

Key words: Stochastic wave equations, non-Gaussian Lévy processes, exponential stability, second moment stability

中图分类号:

60H15

江一鸣, 王苏鑫, 王兴春. ASYMPTOTICS OF THE SOLUTIONS TO STOCHASTIC WAVE EQUATIONS DRIVEN BY A NON-GAUSSIAN LEVY PROCESS[J]. 数学物理学报(英文版), 2019, 39(3): 731-746.

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.

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

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

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