2 papers
math.AP2026
A Vibrating Clamped Plate Resembles a Vibrating Membrane at High Frequency
Or Kuperman, Zhengjiang Lin, Dan Mangoubi
We study the clamped plate eigenvalue problem. We show that clamped plate eigenfunctions can be approximated in the -sense by their oscillatory components, which solve the Hel…
math.SP2025
On multiplicity bounds for eigenvalues of the clamped round plate
Dan Mangoubi, Daniel Rosenblatt
We ask whether the only multiplicities in the spectrum of the clamped round plate are trivial, i.e., whether all existing multiplicities are due to the isometries of the sphere, or…