A note on wave equation in Einstein and de Sitter space-time

被引：21
|
作者：
Galstian, Anahit [1 ]
Kinoshita, Tamotu [2 ]
Yagdjian, Karen [1 ]
机构：
[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA
[2] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 3058571, Japan
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2010年 / 51卷 / 05期
关键词：
PROPAGATION;
D O I：
10.1063/1.3387249
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider the wave propagating in the Einstein and de Sitter space-time. The covariant d'Alembert's operator in the Einstein and de Sitter space-time belongs to the family of the non-Fuchsian partial differential operators. We introduce the initial value problem for this equation and give the explicit representation formulas for the solutions. We also show the L-p-L-q estimates for solutions. (C) 2010 American Institute of Physics. [doi: 10.1063/1.3387249]
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页数：18
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