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math.AP2015
Mixing and large deviations for nonlinear wave equation with white noise
Davit Martirosyan
This thesis is devoted to the study of ergodicity and large deviations for the stochastic nonlinear wave (NLW) equation with smooth white noise in 3D. Under some standard growth an…
math.AP2015★ 4 cited
Local large deviations principle for occupation measures of the damped nonlinear wave equation perturbed by a white noise
Davit Martirosyan, Vahagn Nersesyan
We consider the damped nonlinear wave (NLW) equation driven by a spatially regular white noise. Assuming that the noise is non-degenerate in all Fourier modes, we establish a large…
math.AP2015★ 2 cited
Large deviations for stationary measures of stochastic nonlinear wave equation with smooth white noise
Davit Martirosyan
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…