GLOBAL SOLUTIONS OF THE EXPONENTIAL WAVE EQUATION WITH SMALL INITIAL DATA

被引：2

作者：

Huh, Hyungjin ^{[1
]}

机构：

[1] Chung Ang Univ, Dept Math, Seoul 156756, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 03期

关键词：

quasilinear wave; weakly linearly degenerate; double null form; HARMONIC MAPS;

D O I：

10.4134/BKMS.2013.50.3.811

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the initial value problem of the exponential wave equation in Rn+1 for small initial data. We shows, in the case of n = 1, the global existence of solution by applying the formulation of first order quasilinear hyperbolic system which is weakly linearly degenerate. When n >= 2, a vector field method is applied to show the stability of a trivial solution phi = 0.

引用

页码：811 / 821

页数：11

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