IUMJ

Title: Time-interior gradient estimates for quasilinear parabolic equations

Authors: Ben Andrews and Julie Clutterbuck

Issue: Volume 58 (2009), Issue 1, 351-380

Abstract:

Bounded smooth solutions of the Dirichlet and Neumann problems for a wide variety of quasilinear parabolic equations, including graphical anisotropic mean curvature flows, have gradient bounded in terms of oscillation and elapsed time.