LARGE DEVIATION PRINCIPLE FOR STOCHASTIC HEAT EQUATION WITH MEMORY

被引：8

作者：

Li, Yueling ^{[1
]}

Xie, Yingchao ^{[1
]}

Zhang, Xicheng ^{[2
]}

机构：

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 11期

关键词：

Large deviation principle; weak convergence method; stochastic heat equation with memory; EVOLUTION EQUATIONS; VARIATIONAL REPRESENTATION; ASYMPTOTIC-BEHAVIOR; BROWNIAN-MOTION; FUNCTIONALS; THEOREM;

D O I：

10.3934/dcds.2015.35.5221

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, using the weak convergence argument, we prove a Freidlin-Wentzell's large deviation principle for a class of stochastic heat equations with memory and Dirichlet boundary conditions, where the nonlinear term is allowed to be of polynomial growth.

引用

页码：5221 / 5237

页数：17

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