A conic manifold perspective of elliptic operators on graphs

DOI10.1016/j.jmaa.2007.09.049zbMath1160.35059arXiv0705.2703OpenAlexW2043822451MaRDI QIDQ2470520

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

Publication date: 14 February 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.2703

zbMATH Keywords

singular coefficientsboundary conditions on graphsboundary conditions on networksray/sector of minimal growth

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

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• Resolvents of elliptic cone operators
• Quantum wires with magnetic fluxes
• Sturm-Liouville operators with singular potentials
• Geometry and Spectra of Closed Extensions of Elliptic Cone Operators
• On Rays of Minimal Growth for Elliptic Cone Operators
• Sturm-Liouville eigenvalue problems on networks
• One-Parameter Semigroups for Linear Evolution Equations
• Differential operators of Fuchs type, conical singularities, and asymptotic methods
• Quantum graphs: I. Some basic structures

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