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.
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页码：5221 / 5237
页数：17
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