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

Cecilia De Zan and Pierpaolo Soravia

International Journal of Differential Equations, 2016, vol. 2016, 1-6

Abstract:

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:3627896

DOI: 10.1155/2016/3627896

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