Moderate deviations for a stochastic wave equation in dimension three

Abstract

In this paper, we proved a central limit theorem and established a moderate deviation principle for a perturbed stochastic wave equation defined on $[0,T]\times \rr^3$. This equation is driven by a Gaussian noise, white in time and correlated in space. The weak convergence approach plays an important role.

20 pages. arXiv admin note: text overlap with arXiv:1509.01757