TY - JOUR
T1 - Boundary value problems for a family of domains in the sierpinski gasket
AU - Guo, Zijian
AU - Kogan, Rachel
AU - Qiu, Hua
AU - Strichartz, Robert S.
N1 - Publisher Copyright:
© 2015 University of Illinois.
PY - 2014/6/1
Y1 - 2014/6/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84955301768&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84955301768&partnerID=8YFLogxK
U2 - 10.1215/ijm/1436275495
DO - 10.1215/ijm/1436275495
M3 - Article
AN - SCOPUS:84955301768
SN - 0019-2082
VL - 58
SP - 497
EP - 519
JO - Illinois Journal of Mathematics
JF - Illinois Journal of Mathematics
IS - 2
ER -