Mean curvature flow without singularities

Publikationstyp: Zeitschriftenartikel
Autor/innen: Sáez, Mariel; Schnürer, Oliver
Erscheinungsjahr: 2014
Erschienen in: Journal of Differential Geometry ; 97 (2014), 3. - S. 545-570. - ISSN 0022-040X. - eISSN 1945-743X
ArXiv-ID: arXiv:1210.6007v1
URL der Originalveröffentlichung: http://projecteuclid.org/euclid.jdg/1406033979
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.
Fachgebiet (DDC): 510 Mathematik
Universitätsbibliographie: Ja

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SÁEZ, Mariel, Oliver SCHNÜRER, 2014. Mean curvature flow without singularities. In: Journal of Differential Geometry. 97(3), pp. 545-570. ISSN 0022-040X. eISSN 1945-743X

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