Hiroshima Mathematical Journal
- Hiroshima Math. J.
- Volume 35, Number 3 (2005), 413-424.
Dirichlet problem and Green's formulas on trees
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.
Hiroshima Math. J., Volume 35, Number 3 (2005), 413-424.
First available in Project Euclid: 22 June 2006
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 31C20: Discrete potential theory and numerical methods
Secondary: 05C05: Trees 31D05: Axiomatic potential theory
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