Interior Gradient Estimates for Nonuniformly Parabolic Equations II
Department of Mathematics, Iowa State University, Ames, IA 50011, USA
Boundary Value Problems 2007, 2007:035825 doi:10.1155/2007/35825Published: 4 January 2007
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.