Boundary Value Problems
Volume 2007 (2007), Article ID 35825, 28 pages
doi:10.1155/2007/35825

Interior gradient estimates for nonuniformly parabolic equations. II

Abstract

We prove interior gradient estimates for a large class of parabolic equations in divergence form. Using some simple ideas, we prove these estimates for several types of equations that are not amenable to previous methods. In particular, we have no restrictions on the maximum eigenvalue of the coefficient matrix and we obtain interior gradient estimates for so-called false mean curvature equation.