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

被引：2

作者：

Jiang, Yiming ^{[1
,2
]}

Wang, Suxin ^{[3
]}

Wang, Xingchun ^{[4
]}

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

[3] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

[4] Univ Int Business & Econ, Sch Int Trade & Econ, Beijing 100029, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2019年 / 39卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Stochastic wave equations; non-Gaussian Levy processes; exponential stability; second moment stability; EXISTENCE; BEHAVIOR;

D O I：

10.1007/s10473-019-0307-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider the long time behavior of the solutions to stochastic wave equations driven by a non-Gaussian Levy 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.

引用

页码：731 / 746

页数：16

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