The stochastic Korteweg-de Vries equation on a bounded domain

被引：7

作者：

Gao, Peng ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 310卷

关键词：

Stochastic Korteweg-de Vries equation; Weak martingale solution; Unique Continuation Property; KDV EQUATION; CONTROLLABILITY; SOLITONS; DRIVEN; DECAY;

D O I：

10.1016/j.amc.2017.04.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the stochastic Korteweg-de Vries equation on a bounded domain. The existence of a weak martingale solution is discussed by the Galerkin's approximation and compactness method. Based on this result, we establish the Unique Continuation Property for the stochastic Korteweg-de Vries equation. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：97 / 111

页数：15

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