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

Davit Martirosyan (1)

1 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

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.

Mots clés: large deviations principle; stochastic partial differential equa-tions; invariant measures; white noise

Domaines: Equations aux dérivées partielles [math.AP]

Davit Martirosyan. Large deviations for stationary measures of stochastic nonlinear wave equation with smooth white noise. 2015. ⟨hal-01117791⟩