Global solutions for nonlinear Klein-Gordon equations in infinite homogeneous waveguides

被引：3
|
作者：
Fang, Daoyuan [1 ]
Zhong, Sijia [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年 / 231卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Klein-Gordon; waveguides; global existence;
D O I：
10.1016/j.jde.2006.07.028
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove a global existence result for nonlinear Klein-Gordon equations in infinite homogeneous waveguides, R x M, with smooth small data, where M = (M, g) is a Zoll manifold, or a compact revolution hypersurface. The method is based on normal forms, eigenfunction expansion and the special distribution of eigenvalues of the Laplace-Beltrami on such manifolds. (c) 2006 Elsevier Inc. All rights reserved.
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页码：212 / 234
页数：23
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