The Cauchy problem for the modified Kawahara equation in Sobolev spaces with low regularity

被引：14

作者：

Yan, Wei ^{[1
]}

Li, Yongsheng ^{[1
]}

Yang, Xingyu ^{[2
]}

机构：

[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China

[2] S China Univ Technol, Sch Business Adm, Guangzhou 510640, Guangdong, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

Cauchy problem; Global well-posedness; Modified Kawahara equation; Sobolev spaces; Bourgain spaces; GLOBAL WELL-POSEDNESS; KORTEWEG-DEVRIES EQUATION; KDV;

D O I：

10.1016/j.mcm.2011.03.036

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper is concerned with the Cauchy problem of the modified Kawahara equation. By using the Fourier restriction norm method introduced by Bourgain, and using the I-method as well as the L-2 conservation law, we prove that the modified Kawahara equation is globally well-posed for the initial data in the Sobolev space H-s(R) with s > -3/22. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1252 / 1261

页数：10

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