Local well-posedness for periodic Benjamin equation with small initial data

被引：5

作者：

Shi, Shaoguang ^{[1
]}

Li, Junfeng ^{[2
,3
]}

机构：

[1] Linyi Univ, Dept Math, Linyi 276005, Peoples R China

[2] Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China

[3] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2015年

基金：

中国国家自然科学基金;

关键词：

Benjamin equation; local well-posedness; bilinear estimate; ILL-POSEDNESS; ONO-EQUATION; KDV;

D O I：

10.1186/s13661-015-0322-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The local well-posedness of the periodic Benjamin equation with small initial value in H-s(T), s >= -1/2, is given. It is here shown that -1/2 is the lower endpoint to obtain the bilinear estimates which are the crucial steps to obtain the local well-posedness by the Picard iteration.

引用

页码：1 / 15

页数：15

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