Space-time analytic smoothing effect for the pseudo-conformally invariant Schrodinger equations

被引：6

作者：

Hoshino, Gaku ^{[1
]}

Ozawa, Tohru ^{[1
]}

机构：

[1] Waseda Univ, Dept Appl Phys, Tokyo 1698555, Japan

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2016年 / 23卷 / 01期

关键词：

Nonlinear Schrodinger equation; Analytic smoothing effect; Global existence; EXISTENCE;

D O I：

10.1007/s00030-016-0362-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the global Cauchy problem for the mass critical nonlinear Schrodinger equations. We prove the global existence of analytic solutions in both space and time variables for sufficiently small and exponentially decaying Cauchy data. The method of proof depends on the Leibniz rule for the generator of pseudo-conformal transforms at the L-2 critical level.

引用

页码：1 / 10

页数：10

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