Energy Dispersed Large Data Wave Maps in 2+1 Dimensions

被引：73

作者：

Sterbenz, Jacob ^{[1
]}

Tataru, Daniel ^{[2
]}

机构：

[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA

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

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 298卷 / 01期

基金：

美国国家科学基金会;

关键词：

GLOBAL REGULARITY; WELL-POSEDNESS; BLOW-UP; SCATTERING; EXISTENCE; CONE;

D O I：

10.1007/s00220-010-1061-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article we consider large data Wave-Maps from R2+1 into a compact Riemannian manifold (M, g), and we prove that regularity and dispersive bounds persist as long as a certain type of bulk (non-dispersive) concentration is absent. This is a companion to our concurrent article [21], which together with the present work establishes a full regularity theory for large data Wave-Maps.

引用

页码：139 / 230

页数：92

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