Special Session 47: 

Eigenvalues of the Laplace-Beltrami operator on a zonal domain in the unit sphere

Yoshitsugu Kabeya
Osaka Prefecture University
Japan
Co-Author(s):    
Abstract:
We consider the distribution and the asymptotic behavior of eigenvalues of the Laplace-Beltrami operator on a zonal domain in the unit sphere. The domain is defined on the unit sphere with small two holes. As the diameters of holes goes to zero, we discuss what will happen the asymptotic behavior of eigenvalues.