Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains

被引：30
|
作者：
Metcalfe, J [1 ]
Nakamura, M
Sogge, CD
机构：
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
[2] Tohoku Univ, Grad Sch Informat Sci, Sendai, Miyagi 9808579, Japan
[3] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA
来源：
FORUM MATHEMATICUM | 2005年 / 17卷 / 01期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1515/form.2005.17.1.133
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove global existence for certain multispeed Dirichlet-wave equations with quadratic nonlinearities outside of obstacles. We assume the natural null condition for systems of quasilinear wave equations with multiple speeds. The null condition only puts restrictions on the self-interactions of each wave family. We use the method of commuting vector fields and weighted space-time L-2 estimates.
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页码：133 / 168
页数：36
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