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A conic manifold perspective of elliptic operators on graphs

Gil, JB
; 
Krainer, T
; 
Mendoza, GA
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Journal Article
Date
2008-04-15
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math.AP
 math.AP
 math.FA
 math.SP
 Primary: 34B45; Secondary: 34B24, 47A10
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http://hdl.handle.net/20.500.12613/6089
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0705.2703v1.pdf
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DOI
10.1016/j.jmaa.2007.09.049
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. © 2007 Elsevier Inc. All rights reserved.
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Elsevier BV
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Journal of Mathematical Analysis and Applications
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