BOUNDED MULTIPLICITY FOR EIGENVALUES OF A CIRCULAR VIBRATING CLAMPED PLATE

Yuri Lvovsky, Dan Mangoubi

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)369-383
Number of pages15
JournalJournal of Differential Geometry
Volume121
Issue number2
DOIs
StatePublished - Jun 2022

Bibliographical note

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

Fingerprint

Dive into the research topics of 'BOUNDED MULTIPLICITY FOR EIGENVALUES OF A CIRCULAR VIBRATING CLAMPED PLATE'. Together they form a unique fingerprint.

Cite this