Fundamental solutions of the wave equation in Robertson-Walker spaces

被引：16
|
作者：
Yagdjian, Karen [1 ]
Galstian, Anahit [1 ]
机构：
[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 346卷 / 02期
关键词：
de Sitter spacetime; hyperbolic equations; fundamental solutions;
D O I：
10.1016/j.jmaa.2008.05.075
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we construct the fundamental solutions for the wave equation in the Robertson-Walker spaces arising in the de Sitter model of the universe. We then use these fundamental solutions to represent solutions of the Cauchy problem for the equation with and without a source term. (C) 2008 Elsevier Inc. All rights reserved.
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页码：501 / 520
页数：20
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