English

A Note on Wave Equation in Einstein & de Sitter Spacetime

Mathematical Physics 2010-09-20 v2 Analysis of PDEs math.MP

Abstract

We consider the wave propagating in the Einstein & de Sitter spacetime. The covariant d'Alembert's operator in the Einstein & de Sitter spacetime 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 LpLqL^p - L^q estimates for solutions.

Keywords

Cite

@article{arxiv.0908.1196,
  title  = {A Note on Wave Equation in Einstein & de Sitter Spacetime},
  author = {Anahit Galstian and Tamotu Kinoshita and Karen Yagdjian},
  journal= {arXiv preprint arXiv:0908.1196},
  year   = {2010}
}
R2 v1 2026-06-21T13:33:44.985Z