Remarks on the geodesically completeness and the smoothing effect on asymptotically Minkowski spacetimes

DOI10.1007/s11005-022-01517-2zbMath1485.35282arXiv2107.10509OpenAlexW4220958504MaRDI QIDQ2114552

Kouichi Taira

Publication date: 15 March 2022

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.10509

zbMATH Keywords

smoothing effectsFeynman propagatorgeodesic completenessnull non-trapping condition

Mathematics Subject Classification ID

Wave equation (35L05) Geodesics in global differential geometry (53C22) Wave front sets in context of PDEs (35A18)

Cites Work

• An evolution equation approach to the Klein-Gordon operator on curved spacetime
• Essential self-adjointness of real principal type operators
• Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces
• Limiting absorption principle and equivalence of Feynman propagators on asymptotically Minkowski spacetimes
• Variable coefficient Schrödinger flows for ultrahyperbolic operators
• The Existence of Complete Riemannian Metrics
• Feynman propagators on static spacetimes
• The massive Feynman propagator on asymptotically Minkowski spacetimes
• The Massive Feynman Propagator on Asymptotically Minkowski Spacetimes II
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