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Asymptotic behavior of a class of stochastic nonlinear wave equations with dispersive and dissipative terms
- Source :
-
Nonlinear Analysis: Real World Applications . Jun2013, Vol. 14 Issue 3, p1308-1322. 15p. - Publication Year :
- 2013
-
Abstract
- 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 14681218
- Volume :
- 14
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis: Real World Applications
- Publication Type :
- Academic Journal
- Accession number :
- 84645790
- Full Text :
- https://doi.org/10.1016/j.nonrwa.2012.09.019