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Outgoing Solutions Via Gevrey-2 Properties

Galkowski, J; Zworski, M; (2021) Outgoing Solutions Via Gevrey-2 Properties. Annals of PDE , 7 , Article 5. 10.1007/s40818-021-00094-2. Green open access

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Abstract

Gajic–Warnick [8] have recently proposed a definition of scattering resonances based on Gevrey-2 regularity at infinity and introduced a new class of potentials for which resonances can be defined. We show that standard methods based on complex scaling apply to a larger class of potentials and provide a definition of resonances in wider angles.

Type: Article
Title: Outgoing Solutions Via Gevrey-2 Properties
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s40818-021-00094-2
Publisher version: http://dx.doi.org/10.1007/s40818-021-00094-2
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Scattering theory, Resonances, Quasi-normal modes, General relativity
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10125464
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