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On the small noise limit in the Smoluchowski-Kramers approximation of nonlinear wave equations with variable friction (2203.05923v2)

Published 11 Mar 2022 in math.PR

Abstract: We study the validity of a large deviation principle for a class of stochastic nonlinear damped wave equations, of Klein-Gordon type, in the joint small mass and small noise limit. The friction term is assumed to be state dependent.

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