We establish a pointwise comparison result for a nonlinear degenerate elliptic Dirichlet problem using an isoperimetric inequality involving the total mean curvature. In paricular 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.

A sharp estimate of the extinction time for the mean curvature flow / Brandolini, Barbara; Cicalese, Marco; Nitsch, Carlo; Trombetti, Cristina. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - STAMPA. - 20:(2007), pp. 551-557. [10.1016/j.aml.2006.06.010]

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

BRANDOLINI, BARBARA;CICALESE, MARCO;NITSCH, CARLO;TROMBETTI, CRISTINA
2007

Abstract

We establish a pointwise comparison result for a nonlinear degenerate elliptic Dirichlet problem using an isoperimetric inequality involving the total mean curvature. In paricular 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.
2007
A sharp estimate of the extinction time for the mean curvature flow / Brandolini, Barbara; Cicalese, Marco; Nitsch, Carlo; Trombetti, Cristina. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - STAMPA. - 20:(2007), pp. 551-557. [10.1016/j.aml.2006.06.010]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/131523
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact