dc.contributor.author | Dyatlov, Semen | |
dc.date.accessioned | 2018-05-25T15:23:12Z | |
dc.date.available | 2018-05-25T15:23:12Z | |
dc.date.issued | 2016 | |
dc.identifier.issn | 0373-0956 | |
dc.identifier.issn | 1777-5310 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/115892 | |
dc.description.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. | en_US |
dc.publisher | Cellule MathDoc/CEDRAM | en_US |
dc.relation.isversionof | http://dx.doi.org/10.5802/AIF.3005 | en_US |
dc.rights | C REATIVE C OMMONS ATTRIBUTION – PAS DE MODIFICATION 3.0 F RANCE | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by-nd/3.0/fr/ | en_US |
dc.source | Annales de l’institut Fourier | en_US |
dc.title | Spectral gaps for normally hyperbolic trapping | en_US |
dc.title.alternative | Trous spectraux pour des ensembles captés normalement hyperboliques | en_US |
dc.type | Article | en_US |
dc.identifier.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 | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
dc.contributor.mitauthor | Dyatlov, Semen | |
dc.relation.journal | Annales de l’institut Fourier | en_US |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dc.date.updated | 2018-05-18T17:16:30Z | |
dspace.orderedauthors | Dyatlov, Semyon | en_US |
dspace.embargo.terms | N | en_US |
dc.identifier.orcid | https://orcid.org/0000-0002-6594-7604 | |
mit.license | PUBLISHER_CC | en_US |