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November 2005 Dirichlet problem and Green's formulas on trees
K. Abodayeh, V. Anandam
Hiroshima Math. J. 35(3): 413-424 (November 2005). DOI: 10.32917/hmj/1150998320

Abstract

The Dirichlet problem and the construction of superharmonic functions with point harmonic singularities are two of the basic problems in potential theory. In this article, we study these problems in the context of discrete potential theory, which leads to the consideration of Green’s formulas and flux on a Cartier tree.

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K. Abodayeh. V. Anandam. "Dirichlet problem and Green's formulas on trees." Hiroshima Math. J. 35 (3) 413 - 424, November 2005. https://doi.org/10.32917/hmj/1150998320

Information

Published: November 2005
First available in Project Euclid: 22 June 2006

zbMATH: 1101.31011
MathSciNet: MR2210717
Digital Object Identifier: 10.32917/hmj/1150998320

Subjects:
Primary: 31C20
Secondary: 05C05, 31D05

Rights: Copyright © 2005 Hiroshima University, Mathematics Program

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Vol.35 • No. 3 • November 2005
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