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Upper bound on the
number of resonances for even asymptotically hyperbolic
manifolds with real-analytic ends
Malo Jézéquel |
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Vol. 17 (2024), No. 10, 3623–3670
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DOI: 10.2140/apde.2024.17.3623
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Abstract |
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We prove a polynomial upper bound on the number of resonances in a disk whose radius tends to for even asymptotically hyperbolic manifolds with real-analytic ends. Our analysis also gives a similar upper bound on the number of quasinormal frequencies for Schwarzschild–de Sitter spacetimes. |
Keywords
scattering, resonances, asymptotically hyperbolic
manifolds, real-analytic
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Mathematical Subject Classification
Primary: 58J50
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Milestones
Received: 29 December 2022
Revised: 26 April 2023
Accepted: 18 July 2023
Published: 21 November 2024
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Authors |
| Malo Jézéquel | |
| CNRS, Univ. Brest UMR 6205 Laboratoire de Mathématiques de Bretagne Atlantique Brest France |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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