Multiplicity of eigenvalues of the circular clamped plate
Seminar
Speaker
Prof. Dan Mangoubi, Hebrew University, Jerusalem
Date
02/12/2019 - 15:45 - 14:00Add to Calendar
2019-12-02 14:00:00
2019-12-02 15:45:00
Multiplicity of eigenvalues of the circular clamped plate
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.
2nd floor Colloquium Room, Building 216
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
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.
Last Updated Date : 09/12/2019
