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.
Citation
Cecilia De Zan. Pierpaolo Soravia. "A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients." Int. J. Differ. Equ. 2016 1 - 6, 2016. https://doi.org/10.1155/2016/3627896
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