Interior gradient estimate for 1-D anisotropic curvature flow - doi: 10.5269/bspm.v23i1-2.7464

Authors

  • Yuko Nagase Hokkaido University
  • Yoshihiro Tonegawa Hokkaido University

DOI:

https://doi.org/10.5269/bspm.v23i1-2.7464

Keywords:

curvature flow, anisotropic curvature, gradient estimate.

Abstract

We establish the interior gradient estimate for general 1-D anisotropic curvature flow. The estimate depends only on the height of the graph and not on the gradient at initial time. The proof relies on the monotonicity property of the number of zeros for the parabolic equation.

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Research Articles