Abstract
In this paper we prove that the \(H^{k}\) (\(k\) is odd and larger than \(2\)) mean curvature flow of a closed convex hypersurface can be extended over the maximal time provided that the total \(L^{p}\) integral of the mean curvature is finite for some \(p\).
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Li, Y. On an extension of the \(H^{k}\) mean curvature flow of closed convex hypersurfaces. Geom Dedicata 172, 147–154 (2014). https://doi.org/10.1007/s10711-013-9912-8
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DOI: https://doi.org/10.1007/s10711-013-9912-8