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.
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页码：1694 / 1722
页数：29
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