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

Ruinan Li; Xinyu Wang

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arXiv · 1810.05326

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

Ruinan Li·Xinyu Wang

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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, \pi]^d, with d \in {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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Ruinan Li, Xinyu Wang. 2018-10-12. Central limit theorem and moderate deviations for a stochastic Cahn-Hilliard equation. https://arxiv.org/abs/1810.05326

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