Stochastic nonlinear wave equation with memory driven by compensated Poisson random measures
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematics, Northwest University, Xi An 710069 (China)
- Jiangsu Provincial Key Laboratory for NSLSCS, School of Mathematical Science, Nanjing Normal University, Nanjing 210023 (China)
In this paper, we study a class of stochastic nonlinear wave equation with memory driven by Lévy noise. We first show the existence and uniqueness of global mild solutions using a suitable energy function. Second, under some additional assumptions we prove the exponential stability of the solutions.
- OSTI ID:
- 22250899
- Journal Information:
- Journal of Mathematical Physics, Vol. 55, Issue 3; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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