Uniform integrability of approximate Green functions of some degenerate elliptic operators

Authors
Mohammed, A
Citation
A. Mohammed, Uniform integrability of approximate Green functions of some degenerate elliptic operators, PAC J MATH, 199(2), 2001, pp. 467-492
Citations number
9
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
199
Issue
2
Year of publication
2001
Pages
467 - 492
Database
ISI
SICI code
0030-8730(200106)199:2<467:UIOAGF>2.0.ZU;2-5
Abstract
We prove the uniform integrability of the approximate Green functions of so me degenerate elliptic operators in divergence form with lower order term c oefficients satisfying a Kato type condition. Some further properties of th e approximate Green functions of such operators are also established.