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
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/131523
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