Article ID Journal Published Year Pages File Type
4611002 Journal of Differential Equations 2013 40 Pages PDF
Abstract

In this paper we present a weighted Lp-theory of second-order parabolic partial differential equations defined on C1 domains. The leading coefficients are assumed to be measurable in time variable and have VMO (vanishing mean oscillation) or small BMO (bounded mean oscillation) with respect to space variables, and lower order coefficients are allowed to be unbounded and to blow up near the boundary. Our BMO condition is slightly relaxed than the others in the literature.

Related Topics
Physical Sciences and Engineering Mathematics Analysis