EXTENSION OF FUNCTIONS IN SOBOLEV SPACES ON PARAMETER-DEPENDENT DOMAINS

Authors
MAZYA VG POBORCHI SV
Citation
Vg. Mazya et Sv. Poborchi, EXTENSION OF FUNCTIONS IN SOBOLEV SPACES ON PARAMETER-DEPENDENT DOMAINS, Mathematische Nachrichten, 178, 1996, pp. 5-41
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
178
Year of publication
1996
Pages
5 - 41
Database
ISI
SICI code
0025-584X(1996)178:<5:EOFISS>2.0.ZU;2-O
Abstract
Two-sided epsilon-dependent estimates for norms of extension operators acting in Sobolev spaces on the exterior or interior of an epsilon-th in cylindrical layer are obtained. Applications to some particular dom ains depending on small parameters are given.