Limiting dynamics for stochastic wave equations
نویسندگان
چکیده
منابع مشابه
Limiting dynamics for stochastic wave equations
In this paper, relations between the asymptotic behavior for a stochastic wave equation and a heat equation are considered. By introducing almost surely D–α-contracting property for random dynamical systems, we obtain a global random attractor of the stochastic wave equation νutt + ut − uν + f (uν) = √ νẆ endowed with Dirichlet boundary condition for any 0 < ν 1. The upper semicontinuity of thi...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2008
ISSN: 0022-0396
DOI: 10.1016/j.jde.2007.10.009