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arxiv: 1811.05611 · v2 · pith:J6MG4447new · submitted 2018-11-14 · 🧮 math.PR

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

classification 🧮 math.PR
keywords centralclassequationlimitmoderatesemilinearstochastictheorem
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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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