Spectral gaps for normally hyperbolic trapping

We establish a resonance free strip for codimension 2 symplectic normally hyperbolic trapped sets with smooth incoming/outgoing tails. An important application is wave decay on Kerr and Kerr-de Sitter black holes. We recover the optimal size of the strip and give an o(h-2) resolvent bound there. We...

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Bibliographic Details
Main Author: Dyatlov, Semen
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Cellule MathDoc/CEDRAM 2018
Online Access:http://hdl.handle.net/1721.1/115892
https://orcid.org/0000-0002-6594-7604