We study the formation of singularities for hypersurfaces evolving by mean curvature. After recalling the basic properties of the flow and the classical results about curves and convex surfaces, we give account of some recent developments of the theory for the case of surfaces with positive mean curvature. We show that for such surfaces we can obtain a–priori estimates on the principal curvatures which enable us to classify the singular profiles by the use of rescaling techniques.
@article{BUMI_2001_8_4B_1_107_0,
author = {Carlo Sinestrari},
title = {Formazione di singolarit\`a nel moto per curvatura media},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {4-A},
year = {2001},
pages = {107-119},
zbl = {1177.53062},
mrnumber = {1821400},
language = {it},
url = {http://dml.mathdoc.fr/item/BUMI_2001_8_4B_1_107_0}
}
Sinestrari, Carlo. Formazione di singolarità nel moto per curvatura media. Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001) pp. 107-119. http://gdmltest.u-ga.fr/item/BUMI_2001_8_4B_1_107_0/
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