Dirichlet problem and Green's formulas on trees
Abodayeh, K. ; Anandam, V.
Hiroshima Math. J., Tome 35 (2005) no. 1, p. 413-424 / Harvested from Project Euclid
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.
Publié le : 2005-11-14
Classification:  31C20,  05C05,  31D05
@article{1150998320,
     author = {Abodayeh, K. and Anandam, V.},
     title = {Dirichlet problem and Green's formulas on trees},
     journal = {Hiroshima Math. J.},
     volume = {35},
     number = {1},
     year = {2005},
     pages = { 413-424},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1150998320}
}
Abodayeh, K.; Anandam, V. Dirichlet problem and Green's formulas on trees. Hiroshima Math. J., Tome 35 (2005) no. 1, pp.  413-424. http://gdmltest.u-ga.fr/item/1150998320/