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No mass drop for mean curvature flow of mean convex hypersurfaces
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Metzger, Jan and Schulze, Felix (2008) No mass drop for mean curvature flow of mean convex hypersurfaces. Duke Mathematical Journal, 142 (2). pp. 283-312. doi:10.1215/00127094-2008-007 ISSN 0012-7094.
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Official URL: http://dx.doi.org/10.1215/00127094-2008-007
Abstract
A possible evolution of a compact hypersurface in Rn+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 equality. As a consequence, we obtain the fact that no mass drop can occur along such a flow. A further application of the techniques used above is to give a new variational formulation for mean curvature flow of mean convex hypersurfaces
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Duke Mathematical Journal | ||||
Publisher: | Duke University Press | ||||
ISSN: | 0012-7094 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | 142 | ||||
Number: | 2 | ||||
Page Range: | pp. 283-312 | ||||
DOI: | 10.1215/00127094-2008-007 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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