Invariant Measures for Stochastic PDE's in Unbounded Domains
Chaotic Dynamics
2009-10-31 v1 Analysis of PDEs
Abstract
We study stochastically forced semilinear parabolic PDE's of the Ginzburg-Landau type. The class of forcings considered are white noises in time and colored smooth noises in space. Existence of the dynamics in , as well as existence of an invariant measure are proven. We also show that the solutions are with high probability analytic in a strip around the real axis and give estimates on the width of that strip.
Keywords
Cite
@article{arxiv.nlin/0003057,
title = {Invariant Measures for Stochastic PDE's in Unbounded Domains},
author = {J. -P. Eckmann and M. Hairer},
journal= {arXiv preprint arXiv:nlin/0003057},
year = {2009}
}
Comments
20 pages, no figs