Mean Value Properties of Harmonic Functions on Sierpinski Gasket Type Fractals |
| |
| Authors: | Hua Qiu Robert S Strichartz |
| |
| Institution: | 1. Department of Mathematics, Nanjing Univerisity, Nanjing, 210093, China
2. Department of Mathematics, Cornell University, Malott Hall, Ithaca, NY, 14853, USA
|
| |
| 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: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
