The Modification of Poisson-Sch Integral on Cones and Its Applications

Jinjin Huang, Beatriz Ychussie

In this paper, weconstruct a modified Poisson-Sch integral on cones. As applications, wenot only obtain the asymptotic behaviors of generalized harmonic functions but also characterize the geometrical properties of the exceptional sets with respect to the Schrödinger operator on cones.