Open Access
June 2015 Bi-flows on a network
Hisayasu KURATA, Maretsugu YAMASAKI
Hokkaido Math. J. 44(2): 203-220 (June 2015). DOI: 10.14492/hokmj/1470053291

Abstract

Flows on a network play an important role in the theory of discrete harmonic functions. In the study of discrete bi-harmonic functions, we encounter a concept of bi-flows. In this paper, we are concerned with minimization problems for bi-flows which are analogous to those for flows.

Citation

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Hisayasu KURATA. Maretsugu YAMASAKI. "Bi-flows on a network." Hokkaido Math. J. 44 (2) 203 - 220, June 2015. https://doi.org/10.14492/hokmj/1470053291

Information

Published: June 2015
First available in Project Euclid: 1 August 2016

zbMATH: 1334.31005
MathSciNet: MR3532107
Digital Object Identifier: 10.14492/hokmj/1470053291

Subjects:
Primary: 31C20
Secondary: 31C45

Keywords: bi-flows on a network , bi-harmonic Green function , discrete potential theory

Rights: Copyright © 2015 Hokkaido University, Department of Mathematics

Vol.44 • No. 2 • June 2015
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