Stochastic inertial manifolds for damped wave equations
arXiv:math/0612774
Abstract
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.
18 pages, no figures