Interior Gradient Estimates for Anisotropic Mean Curvature Flow
Differential Geometry
2007-05-23 v1 Analysis of PDEs
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.
Cite
@article{arxiv.math/0510016,
title = {Interior Gradient Estimates for Anisotropic Mean Curvature Flow},
author = {Julie Clutterbuck},
journal= {arXiv preprint arXiv:math/0510016},
year = {2007}
}
Comments
14 pages; to be published in the Pacific Journal of Mathematics