A conic manifold perspective of elliptic operators on graphs

Details A conic manifold perspective of elliptic operators on graphs A conic manifold perspective of elliptic operators on graphs

2007-05-18

arxiv.org/abs/0705.2703v1

Mathematics

Analysis of PDEs

18 pages

Scientific paper

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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