Interior gradient estimates for anisotropic mean-curvature flow

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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.

Original languageEnglish
Pages (from-to)119-136
Number of pages18
JournalPacific Journal of Mathematics
Volume229
Issue number1
Publication statusPublished - 1 Jan 2009
Externally publishedYes

Keywords

  • Anisotropic mean curvature flow
  • Evolution equations
  • Gradient estimates

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