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Interior Gradient Estimates for Anisotropic Mean Curvature Flow

Julie Clutterbuck
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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.

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Julie Clutterbuck. 2005-10-02. Interior Gradient Estimates for Anisotropic Mean Curvature Flow. https://arxiv.org/abs/math/0510016

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