Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature

Maurizio Paolini; Giovanni Bellettini

Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature

Maurizio Paolini
, Giovanni Bellettini

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

Abstract

We prove some properties of the minimal barriers in the sense of De Giorgi for the driven mean curvature flow in codimension one. We compare the resulting evolution with an abstract evolution, and in particular with the evolution defined with the methods of Evans-Spruck, Chen-Giga-Goto, and Giga-Goto-Ishii-Sato.

Original language	English
Pages (from-to)	43-67
Number of pages	25
Journal	RENDICONTI DELL'ACCADEMIA NAZIONALE DELLE SCIENZE DETTA DEI XL. PARTE I. MEMORIE DI MATEMATICA E APPLICAZIONI
Publication status	Published - 1995

Keywords

mean curvature flow
minimal barriers

Cite this

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title = "Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature",

abstract = "We prove some properties of the minimal barriers in the sense of De Giorgi for the driven mean curvature flow in codimension one. We compare the resulting evolution with an abstract evolution, and in particular with the evolution defined with the methods of Evans-Spruck, Chen-Giga-Goto, and Giga-Goto-Ishii-Sato.",

keywords = "mean curvature flow, minimal barriers, mean curvature flow, minimal barriers",

author = "Maurizio Paolini and Giovanni Bellettini",

year = "1995",

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journal = "RENDICONTI DELL'ACCADEMIA NAZIONALE DELLE SCIENZE DETTA DEI XL. PARTE I. MEMORIE DI MATEMATICA E APPLICAZIONI",

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T1 - Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature

AU - Paolini, Maurizio

AU - Bellettini, Giovanni

PY - 1995

Y1 - 1995

N2 - We prove some properties of the minimal barriers in the sense of De Giorgi for the driven mean curvature flow in codimension one. We compare the resulting evolution with an abstract evolution, and in particular with the evolution defined with the methods of Evans-Spruck, Chen-Giga-Goto, and Giga-Goto-Ishii-Sato.

AB - We prove some properties of the minimal barriers in the sense of De Giorgi for the driven mean curvature flow in codimension one. We compare the resulting evolution with an abstract evolution, and in particular with the evolution defined with the methods of Evans-Spruck, Chen-Giga-Goto, and Giga-Goto-Ishii-Sato.

KW - mean curvature flow

KW - minimal barriers

KW - mean curvature flow

KW - minimal barriers

UR - http://hdl.handle.net/10807/23468

M3 - Article

SN - 1128-8582

SP - 43

EP - 67

JO - RENDICONTI DELL'ACCADEMIA NAZIONALE DELLE SCIENZE DETTA DEI XL. PARTE I. MEMORIE DI MATEMATICA E APPLICAZIONI

JF - RENDICONTI DELL'ACCADEMIA NAZIONALE DELLE SCIENZE DETTA DEI XL. PARTE I. MEMORIE DI MATEMATICA E APPLICAZIONI

ER -

Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature

Abstract

Keywords

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