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.

arXiv comment43 pages

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Cited by in corpus (2)

• Local large deviations principle for occupation measures of the damped nonlinear wave equation perturbed by a white noise
• Large deviations for invariant measures of white-forced 2D Navier-Stokes equation