Interior Gradient Estimates for Anisotropic Mean Curvature Flow

Details Interior Gradient Estimates for Anisotropic Mean Curvature Flow Interior Gradient Estimates for Anisotropic Mean Curvature Flow

2005-10-02

arxiv.org/abs/math/0510016v1

Mathematics

Differential Geometry

14 pages; to be published in the Pacific Journal of Mathematics

Scientific paper

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.

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