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arxiv: 1605.02310 · v3 · pith:3ZLY4IHYnew · submitted 2016-05-08 · 🧮 math.PR

Moderate deviations for a stochastic wave equation in dimension three

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keywords equationmoderatestochasticwaveapproachcentralconvergencecorrelated
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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.

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