Mean value properties of harmonic functions on Sierpinski gasket type fractals
Classical Analysis and ODEs
2013-05-17 v3
Abstract
In this paper, we establish an analogue of the classical mean value property for both the harmonic functions and some general functions in the domain of the Laplacian on the Sierpinski gasket. Furthermore, we extend the result to some other p.c.f. fractals with Dihedral-3 symmetry.
Keywords
Cite
@article{arxiv.1206.1382,
title = {Mean value properties of harmonic functions on Sierpinski gasket type fractals},
author = {Hua Qiu and Robert S. Strichartz},
journal= {arXiv preprint arXiv:1206.1382},
year = {2013}
}
Comments
27 pages, 9 figures, to appear, JFAA