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.
|Number of pages||18|
|Journal||Pacific Journal of Mathematics|
|Publication status||Published - 1 Jan 2009|
- Anisotropic mean curvature flow
- Evolution equations
- Gradient estimates