Large deviation for the nonlocal Kuramoto-Sivashinsky SPDE

被引：8

作者：

Bo, Lijun ^{[1
]}

Jiang, Yiming ^{[2
,3
]}

机构：

[1] Xidian Univ, Dept Math, Xian 710071, Peoples R China

[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 82卷

关键词：

Large deviation principle; Nonlocal Kuramoto-Sivashinsky equations; Small noise perturbations; Contraction principle;

D O I：

10.1016/j.na.2013.01.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a large deviation principle for the (weak) solution to a nonlocal Kuramoto-Sivashinsky stochastic partial differential equation with small noise perturbation. The key technique is an application of the contraction principle. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：100 / 114

页数：15

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