No mass drop for mean curvature flow of mean convex hypersurfaces
نویسندگان
چکیده
منابع مشابه
No Mass Drop for Mean Curvature Flow of Mean Convex Hypersurfaces
Abstract. A possible evolution of a compact hypersurface in R by mean curvature past singularities is defined via the level set flow. In the case that 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 equality. We obtain as a consequence that no mass drop can occur along such a flow. As a further ap...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2008
ISSN: 0012-7094
DOI: 10.1215/00127094-2008-007