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

被引：20

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]

引用

页数：18

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