Well-Posedness for a System of Quadratic Derivative Nonlinear Schrodinger Equations with Radial Initial Data

被引:5
|
作者
Hirayama, Hiroyuki [1 ]
Kinoshita, Shinya [2 ]
Okamoto, Mamoru [3 ]
机构
[1] Univ Miyazaki, Org Promot Tenure Track, 1-1 Gakuenkibanadai Nishi, Miyazaki 8892192, Japan
[2] Univ Bielefeld, Fak Math, Postfach 10 01 31, D-33501 Bielefeld, Germany
[3] Osaka Univ, Dept Math, Grad Sch Sci, Toyonaka, Osaka 5600043, Japan
来源
ANNALES HENRI POINCARE | 2020年 / 21卷 / 08期
关键词
ZAKHAROV SYSTEM; CAUCHY-PROBLEM; SCATTERING;
D O I
10.1007/s00023-020-00931-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the present paper, we consider the Cauchy problem of the system of quadratic derivative nonlinear Schrodinger equations. This system was introduced by Colin and Colin (Differ Integral Equ 17:297-330, 2004). The first and second authors obtained some well-posedness results in the Sobolev space H-s(R-d). We improve these results for conditional radial initial data by rewriting the system radial form.
引用
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页码:2611 / 2636
页数:26
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