Approximation rates for regularized level set power mean curvature flow (Q1687817)

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scientific article; zbMATH DE number 6821908
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Approximation rates for regularized level set power mean curvature flow
scientific article; zbMATH DE number 6821908

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    Approximation rates for regularized level set power mean curvature flow (English)
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    4 January 2018
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    For the evolution of hypersurfaces in \(\mathbb R^{n+1}\) with normal speed equal to a power \(k>1\) of the mean curvature, which is called a power mean curvature flow, it was proved by \textit{F. Schulze} [J. Differ. Geom. 79, No. 2, 197--241 (2008; Zbl 1202.53066)] that the level set (viscosity) solution of the flow is obtained as the \(C^0\)-limit of a sequence of smooth solutions solving the elliptic regularized level set equations. In this paper, the author gives an explicit rate for this convergence.
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    power mean curvature flow
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    regularization
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    rate of convergence
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