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

2008/11/13 by Richard Melrose, Melrose, Richard, Antônio Sá Barreto +3 · 1 citation
Mathematics · Physics and Astronomy · #35L05 #35P25 #83C30 #83C57 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.0811.2229

openalex publication_date 2008/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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