On a Stochastic Wave Equation Driven by a Non-Gaussian Lévy Process

Lijun Bo (), Kehua Shi () and Yongjin Wang ()
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Lijun Bo: Xidian University
Kehua Shi: Nankai University
Yongjin Wang: Nankai University

Journal of Theoretical Probability, 2010, vol. 23, issue 1, 328-343

Abstract: Abstract This paper investigates a damped stochastic wave equation driven by a non-Gaussian Lévy noise. The weak solution is proved to exist and be unique. Moreover we show the existence of a unique invariant measure associated with the transition semigroup under mild conditions.

Keywords: Damped wave equation; Lévy noise; Invariant measure; 60H15; 35K90; 47D07 (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s10959-009-0228-4

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