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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Bibliographic Details
Main Authors: Cecilia De Zan, Pierpaolo Soravia
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2016/3627896
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