Weighted estimates for nondivergence parabolic equations in Orlicz spaces

摘要

We obtain the global weighted Orlicz regularity of the maximum order derivatives of the solution to the Dirichlet problem for nondivergence parabolic equations in a bounded domain. We find correct conditions on the associated weight and Young function. The coefficients are assumed to have small bounded mean oscillation (BMO) seminorms. (C) 2015 Elsevier Inc. All rights reserved.