Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840466 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 16 Pages |
Abstract
In this paper, we investigate a class of nonlinear damped stochastic hyperbolic equations with jumps. The jump component considered here is described as a Poisson point process. This paper is divided into two parts. The first part deals with existence and uniqueness of global weak and strong solutions to this type of equations, based on the energy approach. The second part devotes to the existence and support of invariant measures corresponding to the weak solution semi-group, based on Markov property of the solution.
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Authors
Yiming Jiang, Xingchun Wang, Yongjin Wang,