Extend Mean Curvature Flow with Finite Integral Curvature

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dc.creatorXu, Hong-Wei
dc.creatorYe, Fei
dc.creatorZhao, En-Tao
dc.date2009-05-08
dc.date.accessioned2026-07-07T13:12:59Z
dc.date.available2026-07-07T13:12:59Z
dc.descriptionIn this note, we first prove that the solution of mean curvature flow on a finite time interval $[0,T)$ can be extended over time $T$ if the space-time integration of the norm of the second fundamental form is finite. Secondly, we prove that the solution of certain mean curvature flow on a finite time interval $[0,T)$ can be extended over time $T$ if the space-time integration of the mean curvature is finite. Moreover, we show that these conditions are optimal in some sense.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0905.1167
dc.identifierhttp://arxiv.org/abs/0905.1167
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229751
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.titleExtend Mean Curvature Flow with Finite Integral Curvature
dc.typetext

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