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.
Brandolini B., Cicalese M., Nitsch C., Trombetti C. (2007). A sharp estimate of the extinction time for the mean curvature flow. APPLIED MATHEMATICS LETTERS, 20(5), 551-557 [10.1016/j.aml.2006.06.010].
A sharp estimate of the extinction time for the mean curvature flow
Brandolini B.;
2007-01-01
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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
AML(2007).pdf
Solo gestori archvio
Descrizione: articolo principale
Tipologia:
Versione Editoriale
Dimensione
357.63 kB
Formato
Adobe PDF
|
357.63 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
