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

页码：2611 / 2636

页数：26

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