2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174154Solutions 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.Analysis of PDEsDifferential Geometry35L05, 35P25, 83C57, 83C30text