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Spectral gaps for normally hyperbolic trapping

Author(s)
Dyatlov, Semen
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Alternative title
Trous spectraux pour des ensembles captés normalement hyperboliques
Terms of use
C REATIVE C OMMONS ATTRIBUTION – PAS DE MODIFICATION 3.0 F RANCE https://creativecommons.org/licenses/by-nd/3.0/fr/
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Abstract
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 next show existence of deeper resonance free strips under the r-normal hyperbolicity assumption and a pinching condition. We also give a lower bound on the one-sided cutoff resolvent on the real line.
Date issued
2016
URI
http://hdl.handle.net/1721.1/115892
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Annales de l’institut Fourier
Publisher
Cellule MathDoc/CEDRAM
Citation
Dyatlov, Semyon. “Spectral Gaps for Normally Hyperbolic Trapping.” Annales de L’institut Fourier 66, 1 (2016): 55–82 © 2016 Association des Annales de l'institut Fourier
Version: Final published version
ISSN
0373-0956
1777-5310

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