BOUNDED MULTIPLICITY FOR EIGENVALUES OF A CIRCULAR VIBRATING CLAMPED PLATE

Yuri Lvovsky; Dan Mangoubi

doi:10.4310/JDG/1659987895

BOUNDED MULTIPLICITY FOR EIGENVALUES OF A CIRCULAR VIBRATING CLAMPED PLATE

Yuri Lvovsky, Dan Mangoubi

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that no eigenvalue of the clamped disk can have multiplicity greater than six. Our method of proof is based on a new recursion formula, linear algebra arguments and a transcendence theorem due to Siegel and Shidlovskii.

Original language	English
Pages (from-to)	369-383
Number of pages	15
Journal	Journal of Differential Geometry
Volume	121
Issue number	2
DOIs	https://doi.org/10.4310/JDG/1659987895
State	Published - Jun 2022

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© 2022 International Press of Boston, Inc.. All rights reserved.

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abstract = "We prove that no eigenvalue of the clamped disk can have multiplicity greater than six. Our method of proof is based on a new recursion formula, linear algebra arguments and a transcendence theorem due to Siegel and Shidlovskii.",

author = "Yuri Lvovsky and Dan Mangoubi",

year = "2022",

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BOUNDED MULTIPLICITY FOR EIGENVALUES OF A CIRCULAR VIBRATING CLAMPED PLATE

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