Mean curvature flow without singularities

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309 Saez_Schnürer.pdf(744.59 KB)
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2012
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Sáez, Mariel
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Konstanzer Schriften in Mathematik; 309
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urn:nbn:de:bsz:352-208548
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Abstract
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 to smoothly flow through singularities by studying graphical mean curvature flow with one additional dimension.
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510 Mathematics
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ISO 690SÁEZ, Mariel, Oliver C. SCHNÜRER, 2012. Mean curvature flow without singularities
BibTex
@techreport{Saez2012curva-20854,
  year={2012},
  series={Konstanzer Schriften in Mathematik},
  title={Mean curvature flow without singularities},
  number={309},
  author={Sáez, Mariel and Schnürer, Oliver C.}
}
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