Hiroshima Mathematical Journal

Dirichlet problem and Green's formulas on trees

K. Abodayeh and V. Anandam

Full-text: Open access

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.

Article information

Source
Hiroshima Math. J., Volume 35, Number 3 (2005), 413-424.

Dates
First available in Project Euclid: 22 June 2006

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1150998320

Digital Object Identifier
doi:10.32917/hmj/1150998320

Mathematical Reviews number (MathSciNet)
MR2210717

Zentralblatt MATH identifier
1101.31011

Subjects
Primary: 31C20: Discrete potential theory and numerical methods
Secondary: 05C05: Trees 31D05: Axiomatic potential theory

Citation

Abodayeh, K.; Anandam, V. Dirichlet problem and Green's formulas on trees. Hiroshima Math. J. 35 (2005), no. 3, 413--424. doi:10.32917/hmj/1150998320. https://projecteuclid.org/euclid.hmj/1150998320


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