Large deviations for stationary measures of stochastic nonlinear wave equation with smooth white noise
Analysis of PDEs
2015-02-18 v1 Probability
Abstract
We prove the Freidlin-Wentzell type large deviations principle for the family of stationary measures of stochastic nonlinear wave (NLW) equation with white noise. We do not assume that the limiting equation possesses a unique equilibrium and do not impose roughness on the noise. This allows to provide the first such result in the PDE setting.
Keywords
Cite
@article{arxiv.1502.04964,
title = {Large deviations for stationary measures of stochastic nonlinear wave equation with smooth white noise},
author = {Davit Martirosyan},
journal= {arXiv preprint arXiv:1502.04964},
year = {2015}
}
Comments
43 pages