A sharp estimate of the extinction time for the mean curvature flow

Barbara Brandolini, Barbara Brandolini, Carlo Nitsch, Cristina Trombetti, Cicalese

Risultato della ricerca: Articlepeer review

1 Citazioni (Scopus)

Abstract

We establish a pointwise comparison result for a nonlinear degenerate elliptic Dirichlet problem using an isoperimetric inequality involving the total mean curvature. In particular this result provides a sharp estimate for the extinction time of a class of compact surfaces, wider than the convex one, moving by mean curvature flow. Finally we present numerical experiments to compare our estimate with those known in literature.
Lingua originaleEnglish
pagine (da-a)551-557
Numero di pagine7
RivistaApplied Mathematics Letters
Volume20
Stato di pubblicazionePublished - 2007

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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