General quasilinear wave equations with localized dissipation in exterior domains

被引：5

作者：

Metcalfe, Jason ^{[1
]}

Nakamura, Makoto

机构：

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

[2] Tohoku Univ, Inst Math, Sendai, Miyagi 9808578, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年 / 233卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/j.jde.2006.08.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the method of commuting vector fields can be applied to quasilinear wave equations with localized dissipations in general exterior domains. This allows us to show long time existence for general quasilinear wave equations with quadratic nonlinearities. Moreover, by assuming that the dissipation is effective in a certain neighborhood of the boundary, we need not place any assumption on the geometry of the domain. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：313 / 344

页数：32

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