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Acta Mathematica Scientia

, Volume 39, Issue 3, pp 731–746 | Cite as

Asymptotics of the Solutions to Stochastic Wave Equations Driven by a Non-Gaussian Lévy Process

  • Yiming Jiang
  • Suxin WangEmail author
  • Xingchun Wang
Article
  • 30 Downloads

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 

2010 MR Subject Classification

60H15 35R60 

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Copyright information

© Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  1. 1.School of Mathematical Sciences and LPMCNankai UniversityTianjinChina
  2. 2.College of ScienceCivil Aviation University of ChinaTianjinChina
  3. 3.School of International Trade and EconomicsUniversity of International Business and EconomicsBeijingChina

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