Abstract
We establish a pointwise estimate of \(\vert A\vert \) along the mean curvature flow in terms of the initial geometry and the \(\vert HA\vert \) bound. As corollaries we obtain the blowup rate estimate of \(\vert HA\vert \) and an extension theorem with respect to \(\vert HA\vert \).
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The author would like to thank H.Z.Li for insightful discussions.
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Wang, Z. A local estimate for the mean curvature flow. Results Math 78, 6 (2023). https://doi.org/10.1007/s00025-022-01774-6
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DOI: https://doi.org/10.1007/s00025-022-01774-6