Bounded multiplicity for eigenvalues of a circular vibrating clamped plate
arXiv:1907.12855 · doi:10.4310/jdg/1659987895
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.
14 pages