GLOBAL EXISTENCE FOR EXTERIOR PROBLEMS OF SEMILINEAR WAVE EQUATIONS WITH THE NULL CONDITION IN 2D

被引：4
|
作者：
Kubo, Hideo [1 ]
机构：
[1] Hokkaido Univ, Fac Sci, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2013年 / 2卷 / 02期
关键词：
Exterior problem; nonlinear wave equation; global solution; vector field method; cut-off method; SPACE DIMENSIONS; DECAY; SYSTEMS; DOMAINS; OBSTACLES; THEOREM;
D O I：
10.3934/eect.2013.2.319
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we deal with the exterior problem for a system of nonlinear wave equations in two space dimensions under some geometric restriction on the obstacle. We prove a global existence result for the problem with small and smooth initial data, provided that the nonlinearity is taken to be cubic and satisfies the null condition.
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页码：319 / 335
页数：17
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