Lp estimates for parabolic equations in Reifenberg domains

The inhomogeneous Neumann problem for parabolic equations in divergence form is studied. An optimal regularity requirement on the domain for the Lp-theory is investigated, assuming that the principal coefficients are supposed to be in the John–Nirenberg space with small BMO semi-norms and that the domain is a Reifenberg flat domain. © 2005 Elsevier Inc. All rights reserved.