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 languageAmerican English
Pages (from-to)369-383
Number of pages15
JournalJournal of Differential Geometry
Volume121
Issue number2
DOIs
StatePublished - Jun 2022

Bibliographical note

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