Non-smoothness of the fundamental solutions for Schrödinger equations with super-quadratic and spherically symmetric potential

Keiichi Kato, Wataru Nakahashi, Yukihide Tadano

We study non-smoothness of the fundamental solution for the Schrödinger equation with a spherically symmetric and super-quadratic potential in the sence that $V(x)\geq C|x|^{2+\var…