On an extension of the H^{k} mean curvature flow of closed convex hypersurfaces |
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| Authors: | Yi Li |
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| Institution: | 1. Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Min Hang District, Shanghai, 200240, China
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| 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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