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arXiv · 0705.2703

A conic manifold perspective of elliptic operators on graphs

Juan B. Gil·Thomas Krainer·Gerardo A. Mendoza
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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.

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Juan B. Gil, Thomas Krainer, Gerardo A. Mendoza. 2007-05-18. A conic manifold perspective of elliptic operators on graphs. https://doi.org/10.1016/j.jmaa.2007.09.049

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