Mean curvature and the heat equation.
M. van den Berg, J.F. Le Gall (1994)
Mathematische Zeitschrift
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M. van den Berg, J.F. Le Gall (1994)
Mathematische Zeitschrift
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Katsuei Kenmotsu (1979)
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Alexandre M. da Silveira (1987)
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Tudor Zamfirescu (1980)
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Kilian, Martin, McIntosh, Ian, Schmitt, Nicholas (2000)
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Norbert Jakobowsky (1994)
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Yoshihisa Kitagawa, Yoshihiro Ohnita (1983)
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Mayer, Uwe F. (2001)
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Nobumitsu Nakauchi (1993)
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Karsten Große-Braukmann (1993)
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Roberta Alessandroni (2008-2009)
Séminaire de théorie spectrale et géométrie
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This is a short overview on the most classical results on mean curvature flow as a flow of smooth hypersurfaces. First of all we define the mean curvature flow as a quasilinear parabolic equation and give some easy examples of evolution. Then we consider the M.C.F. on convex surfaces and sketch the proof of the convergence to a round point. Some interesting results on the M.C.F. for entire graphs are also mentioned. In particular when we consider the case of dimension one, we can compute...
Katsuei Kenmotsu (1974)
Mathematische Annalen
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