Interior Gradient Estimates for Anisotropic Mean Curvature Flow

2005/10/02 by Clutterbuck, Julie · 3 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0510016

Abstract

In this paper we consider the evolution of a graph-like hypersurface by anisotropic mean curvature flow, under some restrictions on the anisotropic area integrand. We find interior estimates (in both time and space) on the gradient of such hypersurfaces, depending only on the height of the graph and the anisotropic area integrand.

Cited by

• Anisotropic mean curvature flow with contact angle and Neumann boundary conditions in arbitrary dimensions
• Two dimensional anisotropic mean curvature flow with contact angle condition
• Asymptotic behaviour of the weak inverse anisotropic mean curvature flow

Related

• Sharp Interior Gradient Estimate for Area Decreasing Graphical Mean Curvature Flow in Arbitrary Codimension
• Asymptotic behaviour of the weak inverse anisotropic mean curvature flow
• Inverse anisotropic mean curvature flow and a Minkowski type inequality
• Anisotropic mean curvature flow with contact angle and Neumann boundary conditions in arbitrary dimensions
• A remark on gradient estimates for spacelike mean curvature flow with boundary conditions