שלחו לחבר

Multiplicity of eigenvalues of the circular clamped plate

Seminar
Speaker
Prof. Dan Mangoubi, Hebrew University, Jerusalem
Date
02/12/2019 - 15:45 - 14:00
Place
2nd floor Colloquium Room, Building 216
Abstract

A celebrated theorem of C.L. Siegel from 1929 shows that the multiplicity of eigenvalues for the Laplace 

eigenfunctions on the unit disk is at most two. More precisely, Siegel shows that positive zeros of Bessel 

functions are transcendental. We study the fourth order clamped plate problem, showing that the multiplicity 

of eigenvalues is uniformly bounded (by not more than six). Our method is based on new recursion formulas 

and Siegel-Shidlovskii theory. The talk is based on a joint work with Yuri Lvovsky.  

תאריך עדכון אחרון : 09/12/2019