A conic manifold perspective of elliptic operators on graphs
Analysis of PDEs
2023-10-24 v1 Functional Analysis
Spectral Theory
Abstract
We give a simple, explicit, sufficient condition for the existence of a sector of minimal growth for second order regular singular differential operators on graphs. We specifically consider operators with a singular potential of Coulomb type and base our analysis on the theory of elliptic cone operators.
Keywords
Cite
@article{arxiv.0705.2703,
title = {A conic manifold perspective of elliptic operators on graphs},
author = {Juan B. Gil and Thomas Krainer and Gerardo A. Mendoza},
journal= {arXiv preprint arXiv:0705.2703},
year = {2023}
}