Citation
W. Farkas et N. Jacob, Sobolev spaces non-smooth domains and Dirichlet forms related to subordinate reflecting diffusions, MATH NACHR, 224, 2001, pp. 75-104
Citations number
64
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X
→ ACNP
Volume
224
Year of publication
2001
Pages
75 - 104
Database
ISI
SICI code
0025-584X(2001)224:<75:SSNDAD>2.0.ZU;2-O
Abstract
Let Omega be a bounded domain with fractal boundary, for instance von Koch'
s snowflake domain. First we determine the range and the kernel of the trac
e on delta Omega of Sobolev spaces of fractional order defined on Omega. Th
is extends some earlier results of H. WALLIN and J. MARSCHALL. Secondly we
apply these results in studying Dirichlet forms related to subordinate refl
ecting diffusions in non smooth domains.