Asymptotic behavior of a class of stochastic nonlinear wave equations with dispersive and dissipative terms |
| |
Authors: | Robert Jones Bixiang Wang |
| |
Institution: | Department of Mathematics, New Mexico Institute of Mining and Technology Socorro, NM 87801, USA |
| |
Abstract: | This paper is concerned with the asymptotic behavior of solutions of a stochastic nonlinear wave equation with dispersive and dissipative terms defined on an unbounded domain. It is proved that the random dynamical system generated by the equation has a random attractor in a Sobolev space. To overcome the difficulty caused by the non-compactness of Sobolev embeddings on unbounded domains, a cut-off method and a decomposition trick are combined to prove the asymptotic compactness of the solutions. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |