Large deviations for stationary measures of stochastic nonlinear wave equation with smooth white noise

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.

43 pages

Cited by in corpus (1)

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