paper

A two-point generalisation of the Agmon estimate for Schrödinger operators on connected graphs

arXiv:2405.07118

Abstract

We provide in this Letter a two-point generalisation of the Agmon estimate for Schrödinger operators on graphs recently established by S. Steinerberger. It reduces to his estimate when the two points belong to different sets separated by the potential and the energy, i.e., the allowed and forbidden regions.