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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.
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https://hal.archives-ouvertes.fr/hal-01117791
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Submitted on : Tuesday, February 17, 2015 - 6:39:46 PM
Last modification on : Monday, January 25, 2021 - 2:36:02 PM
Long-term archiving on: : Sunday, April 16, 2017 - 9:34:10 AM

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

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