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

被引：79
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.
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页码：1639 / 1658
页数：20
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