Global morrey regularity of strong solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients

Authors
Di Fazio, G Palagachev, DK Ragusa, MA
Citation
G. Di Fazio et al., Global morrey regularity of strong solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients, J FUNCT ANA, 166(2), 1999, pp. 179-196
Citations number
29
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
166
Issue
2
Year of publication
1999
Pages
179 - 196
Database
ISI
SICI code
0022-1236(19990820)166:2<179:GMROSS>2.0.ZU;2-P
Abstract
Well-posedness is proved in the space W-2,W- p,W- lambda(Omega) boolean AND W-0(1,) (p)(Omega) for the Dirichlet problem [GRAPHICS] if the principal coefficients a(ij)(x) of the uniformly elliptic operator b elong to VMO boolean AND L-infinity(Omega). (C) 1999 Academic Press.