Global Well-Posedness and Scattering for Derivative Schrodinger Equation

被引：3

作者：

Wang, Yuzhao ^{[1
]}

机构：

[1] N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 36卷 / 10期

关键词：

Besov spaces; Derivative Schrodinger equations; Global well-posedness; Non-elliptic case; Scattering; MANY-BODY SYSTEMS; COHERENT STRUCTURES; CLASSICAL-SOLUTIONS; EXISTENCE; MAPS;

D O I：

10.1080/03605302.2011.600798

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the Cauchy problem for the elliptic and non-elliptic derivative nonlinear Schrodinger equations in higher spatial dimensions (n >= 2) and some global well-posedness results with small initial data in critical Besov spaces B-2,1(s) are obtained. As by-products, the scattering results with small initial data are also obtained.

引用

页码：1694 / 1722

页数：29

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