Complétude asymptotique pour l'équation des ondes dans une classe d'espaces-temps stationnaires et asymptotiquement plats. (Asymptotic completeness for the wave equation in a class of stationary and asymptotically flat space-times)

DOI10.5802/aif.1837zbMath0981.35031OpenAlexW2476869737MaRDI QIDQ5936668

Dietrich Häfner

Publication date: 4 July 2001

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2001__51_3_779_0

zbMATH Keywords

asymptotic velocitystationary space-times

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Wave equation (35L05) PDEs in connection with relativity and gravitational theory (35Q75) Hyperbolic equations on manifolds (58J45)

Related Items (11)

Scattering for massive Dirac fields on the Kerr metric ⋮ SCATTERING OF MASSLESS DIRAC FIELDS BY A KERR BLACK HOLE ⋮ CONFORMAL SCATTERING AND THE GOURSAT PROBLEM ⋮ Decay of the local energy for the charged Klein-Gordon equation in the exterior de Sitter-Reissner-Nordström spacetime ⋮ The scattering map on collapsing charged spherically symmetric spacetimes ⋮ Conformal scattering theories for tensorial wave equations on Schwarzschild spacetime ⋮ Scattering theory for Klein-Gordon equations with non-positive energy ⋮ Scattering theory for the charged Klein-Gordon equation in the exterior De Sitter-Reissner-Nordström spacetime ⋮ Superradiance and scattering of the charged Klein-Gordon field by a step-like electrostatic potential ⋮ Phase space analysis on some black hole manifolds ⋮ Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy

Cites Work

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• Domain of Dependence
• \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
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