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

Yuko Nagase; Yoshihiro Tonegawa

doi:10.5269/bspm.v23i1-2.7464

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

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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Issue

Vol 23 No 1-2 (2005)

Section

Research Articles

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