A Note on Wave Equation in Einstein & de Sitter Spacetime

Details A Note on Wave Equation in Einstein & de Sitter Spacetime A Note on Wave Equation in Einstein & de Sitter Spacetime

2009-08-08

arxiv.org/abs/0908.1196v2

J.Math.Phys.51:052501,2010

Physics

Mathematical Physics

Scientific paper

10.1063/1.3387249

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 $L^p - L^q$ estimates for solutions.

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