Special Session 97: 

Parabolic and elliptic boundary behavior on a non-smooth domain

Hiroaki Aikawa
Hokkaido University
Japan
Co-Author(s):    Hiroaki Aikawa
Abstract:
We give an estimate of the principal frequency of a non-smooth domain in terms of capacity. It is related to the torsion function, survival probability, boundary Harnack principle and intrinsic ultracontractivity. As an application we derive the global integrability of positive superharmonic functions and supertemperatures.