Karpukhin, M, Kokarev, G and Polterovich, I (2014) Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces. Annales de l'Institut Fourier, 64 (6). pp. 2481-2502. ISSN 0373-0956
Abstract
We prove two explicit bounds for the multiplicities of Steklov eigenvalues σ κ on compact surfaces with boundary. One of the bounds depends only on the genus of a surface and the index κ of an eigenvalue, while the other depends as well on the number of boundary components. We also show that on any given Riemannian surface with smooth boundary the multiplicities of Steklov eigenvalues σκ are uniformly bounded in κ.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2014 Association des Annales de l'Institut Fourier. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | Steklov problem, eigenvalue multiplicity, Riemannian surface |
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: | 20 May 2016 15:43 |
Last Modified: | 10 May 2019 14:34 |
Published Version: | http://dx.doi.org/10.5802/aif.2918 |
Status: | Published |
Publisher: | Association des Annales de l'Institut Fourier |
Identification Number: | 10.5802/aif.2918 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:98586 |