English

A two-point generalisation of the Agmon estimate for Schr\"odinger operators on connected graphs

Spectral Theory 2024-05-14 v1

Abstract

We provide in this Letter a two-point generalisation of the Agmon estimate for Schr\"odinger 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.

Keywords

Cite

@article{arxiv.2405.07118,
  title  = {A two-point generalisation of the Agmon estimate for Schr\"odinger operators on connected graphs},
  author = {Yi C. Huang},
  journal= {arXiv preprint arXiv:2405.07118},
  year   = {2024}
}