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.
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页码：531 / 569
页数：39
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