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

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.
Settore MAT/05 - Analisi Matematica
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/494194
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