Mean curvature flow without singularities
| Type of Publication: | Journal article |
| Author: | Sáez, Mariel; Schnürer, Oliver |
| Year of publication: | 2014 |
| Published in: | Journal of Differential Geometry ; 97 (2014), 3. - pp. 545-570. - ISSN 0022-040X. - eISSN 1945-743X |
| ArXiv-ID: | arXiv:1210.6007v1 |
| URL of original publication: | http://projecteuclid.org/euclid.jdg/1406033979 |
| Summary: |
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.
|
| Subject (DDC): | 510 Mathematics |
| Bibliography of Konstanz: | Yes |
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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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