Uniform integrability of approximate Green functions of some degenerate elliptic operators

Ahmed Mohammed

Vol. 199 (2001), No. 2, 467–492

DOI: 10.2140/pjm.2001.199.467

Abstract

We prove the uniform integrability of the approximate Green functions of some degenerate elliptic operators in divergence form with lower order term coefficients satisfying a Kato type condition. Some further properties of the approximate Green functions of such operators are also established.

Milestones

Received: 10 September 1999

Revised: 15 February 2000

Published: 1 June 2001