An alternative proof of global existence for nonlinear wave equations in an exterior domain

被引：14

作者：

Katayama, Soichiro ^{[1
]}

Kubo, Hideo ^{[2
]}

机构：

[1] Wakayama Univ, Dept Math, Wakayama 6408510, Japan

[2] Osaka Univ, Grad Sch Sci, Dept Math, Osaka 5600043, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2008年 / 60卷 / 04期

关键词：

nonlinear wave equation; null condition; exterior domain;

D O I：

10.2969/jmsj/06041135

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this article is to present a simplified proof of a global existence result for systems of nonlinear wave equations in an exterior domain. The novelty of our proof is to avoid completely the scaling operator which would make the argument complicated in the mixed problem, by using new weighted pointwise estimates of a tangential derivative to the light cone.

引用

页码：1135 / 1170

页数：36

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