The mean curvature at the first singular time of the mean curvature flow
نویسندگان
چکیده
منابع مشابه
Blow up of Subcritical Quantities at the First Singular Time of the Mean Curvature Flow
Consider a family of smooth immersions F (·, t) : M → R of closed hypersurfaces in R moving by the mean curvature flow ∂F (p,t) ∂t = −H(p, t) ·ν(p, t), for t ∈ [0, T ). We show that at the first singular time of the mean curvature flow, certain subcritical quantities concerning the second fundamental form, for example ∫ t 0 ∫ Ms |A| log(2+|A|)dμds, blow up. Our result is a log improvement of re...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2010
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2010.09.002