ON THE GLOBAL WELL-POSEDNESS OF THE ONE-DIMENSIONAL SCHRODINGER MAP FLOW

被引：24

作者：

Rodnianski, Igor ^{[1
]}

Rubinstein, Yanir A. ^{[2
]}

Staffilani, Gigliola ^{[3
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

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

[3] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

ANALYSIS & PDE | 2009年 / 2卷 / 02期

基金：

美国国家科学基金会;

关键词：

Schrodinger flow; periodic NLS; cubic NLS; Strichartz estimates; Kahler manifolds; UNIQUENESS; CONNECTION; EXISTENCE; SYSTEM;

D O I：

10.2140/apde.2009.2.187

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the global well-posedness of the initial value problem for the Schrodinger map flow for maps from the real line into Kahler manifolds and for maps from the circle into Riemann surfaces. This partially resolves a conjecture of W.-Y. Ding.

引用

页码：187 / 209

页数：23

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