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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.
Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
R. Mazzeo and R. B. Melrose · 1987
Earlier work this paper cites.
Distribution of resonances for spherical black holes
A. Sá Barreto and M. Zworski · 1997
Earlier work this paper cites.
Semiclassical resolvent estimates for trapping perturbations
V. Bruneau and V. Petkov · 2000
Earlier work this paper cites.
Uniform estimates of the resolvent of the Laplace-Beltrami operator on infinite volume Riemannian manifolds. II
F. Cardoso and G. Vodev · 2002
Cited alongside, same era.
Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
C. Guillarmou · 2005
Cited alongside, same era.
J.-F. Bony and D. Hafner · 2007
Cited alongside, same era.
Microlocal propagation near radial points and scattering for symbolic potentials of order zero
A. Hassell, R. B. Melrose, and A. Vasy
Cited in the paper.
Analytic continuation and semiclassical resolvent estimates on asymptotically hyperbolic spaces
R. B. Melrose, A. Sá Barreto, A. Vasy
Cited in the paper.
The wave equation on Schwarzschild-de Sitter space times
M. Dafermos and I. Rodnianski · 2007
Later among the works it cites.
The wave equation on asymptotically de Sitter-like spaces
A. Vasy · 2007
Later among the works it cites.
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