A conic manifold perspective of elliptic operators on graphs

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

doi:10.1016/j.jmaa.2007.09.049

A conic manifold perspective of elliptic operators on graphs

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

Division of Mathematics & Natural Sciences (Altoona)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	1296-1311
Number of pages	16
Journal	Journal of Mathematical Analysis and Applications
Volume	340
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2007.09.049
State	Published - Apr 15 2008

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jmaa.2007.09.049

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title = "A conic manifold perspective of elliptic operators on graphs",

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.",

author = "Gil, \{Juan B.\} and Thomas Krainer and Mendoza, \{Gerardo A.\}",

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T1 - A conic manifold perspective of elliptic operators on graphs

AU - Gil, Juan B.

AU - Krainer, Thomas

AU - Mendoza, Gerardo A.

PY - 2008/4/15

Y1 - 2008/4/15

N2 - 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.

AB - 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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UR - https://www.scopus.com/pages/publications/38049079888#tab=citedBy

U2 - 10.1016/j.jmaa.2007.09.049

DO - 10.1016/j.jmaa.2007.09.049

M3 - Article

AN - SCOPUS:38049079888

SN - 0022-247X

VL - 340

SP - 1296

EP - 1311

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

A conic manifold perspective of elliptic operators on graphs

Abstract

All Science Journal Classification (ASJC) codes

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