Interior gradient estimates for anisotropic mean-curvature flow

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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
Issue number1
Publication statusPublished - 1 Jan 2009
Externally publishedYes


  • Anisotropic mean curvature flow
  • Evolution equations
  • Gradient estimates

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