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

Barbara Brandolini; Barbara Brandolini; Carlo Nitsch; Cristina Trombetti; null Cicalese

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

Barbara Brandolini, Barbara Brandolini, Carlo Nitsch, Cristina Trombetti, Cicalese

Matematica e Informatica

Risultato della ricerca: Article › peer review

1 Citazioni (Scopus)

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.

Lingua originale	English
pagine (da-a)	551-557
Numero di pagine	7
Rivista	Applied Mathematics Letters
Volume	20
Stato di pubblicazione	Published - 2007

All Science Journal Classification (ASJC) codes

Applied Mathematics

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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, Isoperimetric inequality, Mean curvature motion",

author = "Barbara Brandolini and Barbara Brandolini and Carlo Nitsch and Cristina Trombetti and Cicalese",

year = "2007",

language = "English",

volume = "20",

pages = "551--557",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Limited",

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TY - JOUR

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

AU - Brandolini, Barbara

AU - Nitsch, Carlo

AU - Trombetti, Cristina

AU - Cicalese, null

PY - 2007

Y1 - 2007

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

KW - Isoperimetric inequality

KW - Mean curvature motion

UR - http://hdl.handle.net/10447/494194

M3 - Article

VL - 20

SP - 551

EP - 557

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

ER -