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.
תאריך עדכון אחרון : 09/12/2019