arXiv:0811.2229 Abstract | arXiv Analytics

arXiv:0811.2229 [math.AP]Abstract References Reviews Resources

Asymptotics of solutions of the wave equation on de Sitter-Schwarzschild space

Richard Melrose, Antônio Sá Barreto, András Vasy

Published 2008-11-13Version 1

Solutions to the wave equation on de Sitter-Schwarzschild space with smooth initial data on a Cauchy surface are shown to decay exponentially to a constant at temporal infinity, with corresponding uniform decay on the appropriately compactified space.

Categories: math.AP, math.DG

Subjects: 35L05, 35P25, 83C57, 83C30

Keywords: wave equation, sitter-schwarzschild space, asymptotics, smooth initial data, cauchy surface

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