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

作者:Galstian Anahit*; Kinoshita Tamotu; Yagdjian Karen
来源:Journal of Mathematical Physics, 2010, 51(5): 052501.
DOI:10.1063/1.3387249

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.

  • 出版日期2010-5