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arxiv: 0811.2229 · v1 · submitted 2008-11-13 · 🧮 math.AP · math.DG

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

classification 🧮 math.AP math.DG
keywords spacedecayequationsitter-schwarzschildsolutionswaveappropriatelyasymptotics
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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.

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