Central limit theorem and moderate deviations for a class of semilinear SPDES

Shulan Hu; Ruinan Li; Xinyu Wang

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arXiv · 1811.05611

Central limit theorem and moderate deviations for a class of semilinear SPDES

Shulan Hu·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 class of semilinear stochastic partial differential equations, which contain Burgers' equation and the stochastic reaction-diffusion equation. The weak convergence method plays an important role.

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Shulan Hu, Ruinan Li, Xinyu Wang. 2018-11-20. Central limit theorem and moderate deviations for a class of semilinear SPDES. https://arxiv.org/abs/1811.05611

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