Central limit theorem and moderate deviations for a stochastic Cahn-Hilliard equation

Abstract

In this paper, we prove a central limit theorem and a moderate deviation principle for a perturbed stochastic Cahn-Hilliard equation defined on [0, T]x [0, π]d, with d ∈ 1,2,3. This equation is driven by a space-time white noise. The weak convergence approach plays an important role.

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