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

Published 14 Nov 2018 in math.PR | (1811.05611v2)

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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