Well-posedness of the Cauchy problem for Ostrovsky, Stepanyams and Tsimring equation with low regularity data

被引：8

作者：

Zhao, Xiangqing ^{[1
]}

Cui, Shangbin ^{[2
]}

机构：

[1] Zhejiang Ocean Univ, Dept Math, Zhoushan 316000, Zhejiang, Peoples R China

[2] Sun Yat Sen Univ, Inst Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 344卷 / 02期

基金：

中国国家自然科学基金;

关键词：

OST equation; initial value problem; local well-posedness; global well-posedness;

D O I：

10.1016/j.jmaa.2008.03.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

this paper we prove that the initial value problem of the OST equation u(t) + u(xxx) + eta(Hu(x) + Hu(xxx)) + uu(x) = 0 (x is an element of R, t >= 0), where eta > 0 and H denotes the usual Hilbert transformation, is locally well-posed in the Sobolev space H-s(R) when s > -3/4, and globally well-posed in H-s(R) when s >= 0. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：778 / 787

页数：10

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