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.
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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).
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Jiang, Y., Wang, S. & Wang, X. Asymptotics of the Solutions to Stochastic Wave Equations Driven by a Non-Gaussian Lévy Process. Acta Math Sci 39, 731–746 (2019). https://doi.org/10.1007/s10473-019-0307-2
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DOI: https://doi.org/10.1007/s10473-019-0307-2