6533b7d6fe1ef96bd1265c10

RESEARCH PRODUCT

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

Cristina TrombettiCarlo NitschMarco CicaleseBarbara Brandolini

subject

Dirichlet problemPointwiseMean curvature flowMean curvatureApplied MathematicsMathematical analysisCurvatureisoperimetric inequalityextinction timeNonlinear systemElliptic curveSettore MAT/05 - Analisi Matematicamean curvature motionIsoperimetric inequalityMathematics

description

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.

yearjournalcountryeditionlanguage
2007-05-01
10.1016/j.aml.2006.06.010http://hdl.handle.net/11588/131523