American Institute of Mathematical Sciences

November  2015, 35(11): 5221-5237. doi: 10.3934/dcds.2015.35.5221

Large deviation principle for stochastic heat equation with memory

 1 School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu, 221116, China, China 2 School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, China

Received  September 2013 Revised  March 2014 Published  May 2015

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.
Citation: Yueling Li, Yingchao Xie, Xicheng Zhang. Large deviation principle for stochastic heat equation with memory. Discrete & Continuous Dynamical Systems - A, 2015, 35 (11) : 5221-5237. doi: 10.3934/dcds.2015.35.5221
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