Titlebook: Geometric Analysis and Nonlinear Partial Differential Equations; Stefan Hildebrandt,Hermann Karcher Book 2003 Springer-Verlag Berlin Heide

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Geometric Conditions on Free Boundariesoundary. In smooth models approximating these free boundary problems, the geometric conditions are replaced by elliptic and parabolic equations. We describe the approximation of mean curvature flow by the Allen- Cahn equation, also with coupling, and of the Stefan problem with Gibbs-Thomson law by t

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