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

ASYMPTOTICS OF THE SOLUTIONS TO STOCHASTIC WAVE EQUATIONS DRIVEN BY A NON-GAUSSIAN LéVY PROCESS
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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. 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.
作者 江一鸣 王苏鑫 王兴春 Yiming JIANG;Suxin WANG;Xingchun WANG
出处 《Acta Mathematica Scientia》 SCIE CSCD 2019年第3期731-746,共16页 数学物理学报(B辑英文版)
基金 supported by National Natural Science Foundation of China(11571190) the Fundamental Research Funds for the Central Universities supported by the China Scholarship Council(201807315008) National Natural Science Foundation of China(11501565) the Youth Project of Humanities and Social Sciences of Ministry of Education(19YJCZH251) supported by National Natural Science Foundation of China(11701084 and 11671084)
关键词 Stochastic wave EQUATIONS NON-GAUSSIAN LEVY processes EXPONENTIAL stability second momen tstability Stochastic wave equations non-Gaussian Lévy processes exponential stability second moment stability
分类号 O [理学]
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