Regularity theorems for parabolic equations

We study regularity properties of solutions of a parabolic equation ( t − · a · + b · + · b)u = 0 in R+ × Rd , d 3 under fairly general conditions on the drift term coefficients. The results are already new for the case a = I , b = 0, b = b(x) and div b = 0. © 2005 Elsevier Inc. All rights reserved.