A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients

A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients

We study the level set equation in a bounded domain when the velocity of the interface is given by the mean curvature plus a discontinuous velocity. We prove a comparison principle for the initial-boundary value problem whose consequence is uniqueness of continuous solutions and well- posedness of t...

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Main Authors: Cecilia De Zan, Pierpaolo Soravia
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2016/3627896
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spelling doaj-416d030c56654005a3d9cc39a84d5ef62020-11-24T23:54:18ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/36278963627896A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous CoefficientsCecilia De Zan0Pierpaolo Soravia1Dipartimento di Matematica, Università di Padova, Via Trieste 63, 35121 Padova, ItalyDipartimento di Matematica, Università di Padova, Via Trieste 63, 35121 Padova, ItalyWe study the level set equation in a bounded domain when the velocity of the interface is given by the mean curvature plus a discontinuous velocity. We prove a comparison principle for the initial-boundary value problem whose consequence is uniqueness of continuous solutions and well- posedness of the level set method.http://dx.doi.org/10.1155/2016/3627896
collection DOAJ
language English
format Article
sources DOAJ
author Cecilia De Zan
Pierpaolo Soravia
spellingShingle Cecilia De Zan
Pierpaolo Soravia
A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients
International Journal of Differential Equations
author_facet Cecilia De Zan
Pierpaolo Soravia
author_sort Cecilia De Zan
title A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients
title_short A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients
title_full A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients
title_fullStr A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients
title_full_unstemmed A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients
title_sort comparison principle for the mean curvature flow equation with discontinuous coefficients
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2016-01-01
description We study the level set equation in a bounded domain when the velocity of the interface is given by the mean curvature plus a discontinuous velocity. We prove a comparison principle for the initial-boundary value problem whose consequence is uniqueness of continuous solutions and well- posedness of the level set method.
url http://dx.doi.org/10.1155/2016/3627896
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AT pierpaolosoravia acomparisonprincipleforthemeancurvatureflowequationwithdiscontinuouscoefficients
AT ceciliadezan comparisonprincipleforthemeancurvatureflowequationwithdiscontinuouscoefficients
AT pierpaolosoravia comparisonprincipleforthemeancurvatureflowequationwithdiscontinuouscoefficients
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