Date of this Version
Illinois Journal of Mathematics
For a family of domains in the Sierpinski gasket, we study harmonic functions of finite energy, characterizing them in terms of their boundary values, and study their normal derivatives on the boundary. We characterize those domains for which there is an extension operator for functions of finite energy. We give an explicit construction of the Green’s function for these domains.
Guo, Z., Kogan, R., Qiu, H., & Strichartz, R. S. (2014). Boundary Value Problems for a Family of Domains in the Sierpinski Gasket. Illinois Journal of Mathematics, 58 (2), 1-25. Retrieved from https://repository.upenn.edu/statistics_papers/60
Date Posted: 27 November 2017
This document has been peer reviewed.