Global bounds for the cubic nonlinear Schrodinger equation (NLS) in one space dimension

被引：59

作者：

Ifrim, Mihaela ^{[1
]}

Tataru, Daniel ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

NONLINEARITY | 2015年 / 28卷 / 08期

关键词：

NLS; scattering; asymptotic completeness; ASYMPTOTICS; SCATTERING; TIME;

D O I：

10.1088/0951-7715/28/8/2661

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is concerned with the small data problem for the cubic nonlinear Schrodinger equation (NLS) in one space dimension, and short range modifications of it. We provide a new, simpler approach in order to prove that global solutions exist for data which is small in H-0,H-1. In the same setting we also discuss the related problems of obtaining a modified scattering expansion for the solution, as well as asymptotic completeness.

引用

页码：2661 / 2675

页数：15

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