Harmonic functions on metric graphs under the anti-Kirchhoff law

DOI10.1007/s00025-019-0966-2zbMath1407.35198OpenAlexW2922598990WikidataQ114852553 ScholiaQ114852553MaRDI QIDQ667546

Joachim von Below, José A. Lubary

Publication date: 28 February 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/177996

zbMATH Keywords

harmonic functionsquantum graphsinfinite graphsmetric graphsLiouville's theoremanti-Kirchhoff lawgeneralized lattices

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Infinite graphs (05C63) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (1)

Laplacians on bipartite metric graphs

Cites Work

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