Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity

被引：80

作者：

Ibrahim, Slim

Majdoub, Mohamed

Masmoudi, Nader

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4L8, Canada

[2] Courant Inst, New York, NY 10012 USA

[3] Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2006年 / 59卷 / 11期

关键词：

D O I：

10.1002/cpa.20127

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence and uniqueness of global solutions for a Cauchy problem associated to a semilinear Klein-Gordon equation in two space dimensions. Our result is based on an interpolation estimate with a sharp constant obtained by a standard variational method. (c) 2006 Wiley Periodicals, Inc.

引用

页码：1639 / 1658

页数：20