%0 Journal Article
%T Stochastic inertial manifolds for damped wave equations
%A Zhenxin Liu
%J Mathematics
%D 2006
%I arXiv
%X In this paper, stochastic inertial manifold for damped wave equations subjected to additive white noise is constructed by the Lyapunov-Perron method. It is proved that when the intensity of noise tends to zero the stochastic inertial manifold converges to its deterministic counterpart almost surely.
%U http://arxiv.org/abs/math/0612774v1