Global well-posedness and scattering for the defocusing (H) over dots-critical NLS

被引：0

作者：

Xie, Jian ^{[1
]}

Fang, Daoyuan ^{[2
]}

机构：

[1] Hangzhou Normal Univ, Dept Math, Hangzhou 310016, Zhejiang, Peoples R China

[2] Zhejiang Univ, Dept Math, Hangzhou 310058, Zhejiang, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2013年 / 34卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Nonlinear Schrodinger equation; Scattering; Global well-posedness; NONLINEAR SCHRODINGER-EQUATION; EXISTENCE;

D O I：

10.1007/s11401-013-0808-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors consider the scattering phenomena of the defocusing (H) over dot(s)-critical NLS. It is shown that if a solution of the defocusing NLS remains bounded in the critical homogeneous Sobolev norm on its maximal interval of existence, then the solution is global and scatters.

引用

页码：801 / 842

页数：42

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