Global Well-posedness of the Stochastic Generalized Kuramoto-Sivashinsky Equation with Multiplicative Noise

被引：0

作者：

Wei WU ^{[1
,2
]}

Shang-bin CUI ^{[2
]}

Jin-qiao DUAN ^{[3
,4
]}

机构：

[1] Science and Information College, Qingdao Agricultural University

[2] Department of Mathematics, Sun Yat-Sen University

[3] Department of Applied Mathematics, Illinois Institute of Technology

[4] Center for Mathematical Sciences, Huazhong University of Science and Technology

来源：

Acta Mathematicae Applicatae Sinica | 2018年 / 34卷 / 03期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Kuramoto-Sivashinsky equation; stochastic partial differential equations; multiplicative noise; well-posedness;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

Global well-posedness of the initial-boundary value problem for the stochastic generalized KuramotoSivashinsky equation in a bounded domain D with a multiplicative noise is studied. It is shown that under suitable sufficient conditions, for any initial data u0 ∈L;（D×?）, this problem has a unique global solution u in the space L;(?, C([0, T ], L;（D）)) for any T > 0, and the solution map u0 →u is Lipschitz continuous.

引用

页码：566 / 584

页数：19

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