On global existence and scattering for the wave maps equation

被引：106

作者：

Tataru, D ^{[1
]}

机构：

[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2001年 / 123卷 / 01期

关键词：

D O I：

10.1353/ajm.2001.0005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove global existence and scattering for the wave-maps equation in n+1 dimensions, n = 2, 3, for initial data which is small in the scale-invariant homogeneous Besov space (B) over dot(n/2)(2,1) x (B) over dot(n/2-1)(2,1). This result was proved in an earlier paper by the author for n greater than or equal to 4.

引用

页码：37 / 77

页数：41

共 14 条

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[2]

Cazenave T, 1998, ANN I H POINCARE-PHY, V68, P315

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