Article ID Journal Published Year Pages File Type
4667642 Advances in Mathematics 2007 22 Pages PDF
Abstract

In this paper we define time dependent parabolic Reifenberg domains and study Lp estimates for weak solutions of uniformly parabolic equations in divergence form on these domains. The basic assumption is that the principal coefficients are of parabolic BMO space with small parabolic BMO seminorms. It is shown that Lp estimates hold for time dependent parabolic δ-Reifenberg domains.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)