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