Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces

DOI10.4171/JST/301zbMath1445.35233arXiv1712.09650MaRDI QIDQ2192438

András Vasy

Publication date: 17 August 2020

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.09650

zbMATH Keywords

Fredholm theoryradial pointspropagation estimatesnon-trapping conditionFeynman spacessemi-Riemannian metrics

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Wave equation (35L05) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items

Dynamical residues of Lorentzian spectral zeta functions ⋮ A remark on the essential self-adjointness for Klein-Gordon-type operators ⋮ An index theorem on asymptotically static spacetimes with compact Cauchy surface ⋮ Essential self-adjointness of Klein-Gordon type operators on asymptotically static, Cauchy-compact spacetimes ⋮ Limiting absorption principle and equivalence of Feynman propagators on asymptotically Minkowski spacetimes ⋮ Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach ⋮ Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach ⋮ Scattering theory for repulsive Schrödinger operators and applications to the limit circle problem ⋮ Essential self-adjointness of real principal type operators ⋮ Non-self-adjointness of the Klein-Gordon operator on a globally hyperbolic and geodesically complete manifold: an example ⋮ Remarks on the geodesically completeness and the smoothing effect on asymptotically Minkowski spacetimes

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