A conic manifold perspective of elliptic operators on graphs |
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| Authors: | Juan B Gil Thomas Krainer Gerardo A Mendoza |
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| Institution: | aPenn State Altoona, 3000 Ivyside Park, Altoona, PA 16601-3760, USA;bDepartment of Mathematics, Temple University, Philadelphia, PA 19122, USA |
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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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| Keywords: | Boundary conditions on graphs/networks Singular coefficients Ray/sector of minimal growth |
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