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• W2014222714 abstract "In this paper we obtain the asymptotic behavior of solutions of the Klein–Gordon equation on Lorentzian manifolds (X○,g) which are de Sitter-like at infinity. Such manifolds are Lorentzian analogues of the so-called Riemannian conformally compact (or asymptotically hyperbolic) spaces. Under global assumptions on the (null)bicharacteristic flow, namely that the boundary of the compactification X is a union of two disjoint manifolds, Y±, and each bicharacteristic converges to one of these two manifolds as the parameter along the bicharacteristic goes to +∞, and to the other manifold as the parameter goes to −∞, we also define the scattering operator, and show that it is a Fourier integral operator associated to the bicharacteristic flow from Y+ to Y−." @default.
• W2014222714 created "2016-06-24" @default.
• W2014222714 creator A5026778922 @default.
• W2014222714 date "2010-01-01" @default.
• W2014222714 modified "2023-10-15" @default.
• W2014222714 title "The wave equation on asymptotically de Sitter-like spaces" @default.
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• W2014222714 doi "https://doi.org/10.1016/j.aim.2009.07.005" @default.
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