Strohmaier, A orcid.org/0000-0002-8446-3840 and Waters, A (2022) The Birman-Krein formula for differential forms and electromagnetic scattering. Bulletin des Sciences Mathématiques, 179. 103166. ISSN 0007-4497
Abstract
We consider scattering theory of the Laplace Beltrami operator on differential forms on a Riemannian manifold that is Euclidean near infinity. Allowing for compact boundaries of low regularity we prove a Birman-Krein formula on the space of co-closed differential forms. In the case of dimension three this reduces to a Birman-Krein formula in Maxwell scattering.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 The Author(s). Published by Elsevier Masson SAS. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
Keywords: | Birman-Krein formula; Scattering theory on manifolds; Differential forms; Obstacle scattering |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 07 Jul 2022 15:09 |
Last Modified: | 25 Jun 2023 23:02 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.bulsci.2022.103166 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:188448 |