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Central Limit Theorem and Moderate Deviations for a Class of Semilinear Stochastic Partial Differential Equations

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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 the stochastic Burgers’ equation and… Click to show full 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 the stochastic Burgers’ equation and the stochastic reaction-diffusion equation. The weak convergence method plays an important role.

Keywords: theorem moderate; central limit; semilinear stochastic; stochastic partial; limit theorem; class semilinear

Journal Title: Acta Mathematica Scientia
Year Published: 2020

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