Anahit Galstian, Tamotu Kinoshita, Karen Yagdjian
Published 2009-08-08, updated 2010-02-27Version 2
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.
Journal: J.Math.Phys.51:052501,2010
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The Initial Value Problem for Wave Equation and a Poisson-like Integral in Hyperbolic Plane
The wave equation on singular space-times
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