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

B. Brandolini; M. Cicalese; C. Nitsch; C. Trombetti

doi:10.1016/j.aml.2006.06.010

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

B. Brandolini
, M. Cicalese
, C. Nitsch
, C. Trombetti

Università di Napoli Federico II

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	551-557
Number of pages	7
Journal	Applied Mathematics Letters
Volume	20
Issue number	5
DOIs	https://doi.org/10.1016/j.aml.2006.06.010
State	Published - May 2007
Externally published	Yes

Keywords

Isoperimetric inequality
Mean curvature motion

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10.1016/j.aml.2006.06.010

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title = "A sharp estimate of the extinction time for the mean curvature flow",

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.",

keywords = "Isoperimetric inequality, Mean curvature motion",

author = "B. Brandolini and M. Cicalese and C. Nitsch and C. Trombetti",

year = "2007",

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doi = "10.1016/j.aml.2006.06.010",

language = "English",

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pages = "551--557",

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T1 - A sharp estimate of the extinction time for the mean curvature flow

AU - Brandolini, B.

AU - Cicalese, M.

AU - Nitsch, C.

AU - Trombetti, C.

PY - 2007/5

Y1 - 2007/5

N2 - 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.

AB - 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.

KW - Isoperimetric inequality

KW - Mean curvature motion

UR - https://www.scopus.com/pages/publications/33845367843

U2 - 10.1016/j.aml.2006.06.010

DO - 10.1016/j.aml.2006.06.010

M3 - Article

AN - SCOPUS:33845367843

SN - 0893-9659

VL - 20

SP - 551

EP - 557

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 5

ER -

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

Abstract

Keywords

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