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Existence of
resonances for Schrödinger operators on hyperbolic space
David Borthwick and Yiran Wang |
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Vol. 17 (2024), No. 6, 2077–2108
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Abstract |
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We prove existence results and lower bounds for the resonances of Schrödinger operators associated to smooth, compactly support potentials on hyperbolic space. The results are derived from a combination of heat and wave trace expansions and asymptotics of the scattering phase. |
Keywords
resonances, Schrödinger, hyperbolic
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Mathematical Subject Classification
Primary: 35P25, 58J50
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Milestones
Received: 3 February 2022
Revised: 15 August 2022
Accepted: 27 October 2022
Published: 19 July 2024
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Authors |
| David Borthwick | |
| Department of Mathematics and
Computer Science Emory University Atlanta, GA United States |
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| Yiran Wang | |
| Department of Mathematics Emory University Atlanta, GA United States |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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