Bounded multiplicity for eigenvalues of a circular vibrating clamped plate
Spectral Theory
2024-06-06 v1
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 transcendency theorem due to Siegel and Shidlovskii.
Cite
@article{arxiv.1907.12855,
title = {Bounded multiplicity for eigenvalues of a circular vibrating clamped plate},
author = {Yuri Lvovsky and Dan Mangoubi},
journal= {arXiv preprint arXiv:1907.12855},
year = {2024}
}
Comments
14 pages