No mass drop for mean curvature flow of mean convex hypersurfaces

A possible evolution of a compact hypersurface in R n + 1 by mean curvature past singularities is defined via the level set flow. In the case where the initial hypersurface has positive mean curvature, we show that the Brakke flow associated to the level set flow is actually a Brakke flow with equal...

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Veröffentlicht in:	Duke mathematical journal 2008-04, Vol.142 (2), p.283-312
Hauptverfasser:	Metzger, Jan, Schulze, Felix
Format:	Artikel
Sprache:	eng
Schlagworte:	49Q20 53C44 etc. Geometric evolution equations (mean curvature flow Ricci flow Variational problems in a geometric measure-theoretic setting
Online-Zugang:	Volltext
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