GLOBAL EXISTENCE FOR A CLASS OF SYSTEMSOF NONLINEAR WAVE EQUATIONS INTHREE SPACE DIMENSIONS

被引：0

作者：

S.KATAYAMA

机构：

[1] Department of Mathematics

[2] Wakayama University

[3] Sakaedani

[4] Wakayama —

[5] Japan

来源：

ChineseAnnalsofMathematics | 2004年 / 04期

关键词：

Wave equations; Multiple speeds; Global existence;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

<正> Consider a system of nonlinear wave equationsfor i = 1, … , m, where F, (i = 1, … , m) are smooth functions of degree 2 near the origin of their arguments, and u = (u1, … ,um), while u and x u represent the first and second derivatives of u, respectively. In this paper, the author presents a new class of nonlineaxity for which the global existence of small solutions is ensured. For example, global existence of small solutions for arbitrary cubic terms,arbitrary cubic termswill be established, provided that c12 ≠ c22.

引用

页码：463 / 482

页数：20