Spectral gaps for normally hyperbolic trapping
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AIF_2016__66_1_55_0.pdf
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877.88 KB
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Checksum (MD5)
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Author(s)
Dyatlov, Semen
Alternative Title
Trous spectraux pour des ensembles captés normalement hyperboliques
Date Issued
2016
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
C REATIVE C OMMONS ATTRIBUTION – PAS DE MODIFICATION 3.0 F RANCE
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.5802/AIF.3005
