Mean curvature flow without singularities

Mean curvature flow without singularities

We study graphical mean curvature flow of complete solutions defined on subsets of Euclidean space.We obtain smooth long time existence. The projections of the evolving graphs also solve mean curvature flow. Hence this approach allows us to smoothly flow through singularities by studying graphical m...

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Veröffentlicht in:Journal of differential geometry 2014-07, Vol.97 (3), p.545-570
Hauptverfasser: Sáez, Mariel, Schnürer, Oliver C.
Format: Artikel
Sprache:eng
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Zusammenfassung:We study graphical mean curvature flow of complete solutions defined on subsets of Euclidean space.We obtain smooth long time existence. The projections of the evolving graphs also solve mean curvature flow. Hence this approach allows us to smoothly flow through singularities by studying graphical mean curvature flow in one additional dimension.
ISSN:0022-040X
1945-743X
DOI:10.4310/jdg/1406033979