GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE DEFOCUSING, L2-CRITICAL, NONLINEAR SCHRODINGER EQUATION WHEN d=1

被引：74

作者：

Dodson, Benjamin ^{[1
]}

机构：

[1] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2016年 / 138卷 / 02期

基金：

美国国家科学基金会;

关键词：

CAUCHY-PROBLEM; BLOW-UP; WAVE-EQUATION; ROUGH SOLUTIONS; WEAK SOLUTIONS; ENERGY SPACE; MINIMAL-MASS; RADIAL DATA; REGULARITY; DIMENSIONS;

D O I：

10.1353/ajm.2016.0016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove global well-posedness and scattering for the defocusing, one dimensional mass-critical nonlinear Schrodinger equation. We make use of a long-time Strichartz estimate and a frequency localized Morawetz estimate. This continues work begun in earlier papers by the author for dimensions d >= 3 and d = 2.

引用

页码：531 / 569

页数：39

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