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

被引：0
作者：
Shulan Hu
Ruinan Li
Xinyu Wang
机构：
[1] Zhongnan University of Economics and Law,School of Statistics and Mathematics
[2] Shanghai University of International Business and Economics,School of Statistics and Information
[3] Huazhong University of Science and Technology,School of Mathematics and Statistics
来源：
Acta Mathematica Scientia | 2020年 / 40卷
关键词：
stochastic Burgers’ equation; stochastic reaction-diffusion equation; large deviations; moderate deviations; 60H15; 60F05; 60F10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：1477 / 1494
页数：17
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