Mean curvature flow through singularities for surfaces of rotation (Q1904555)

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scientific article; zbMATH DE number 828774
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Mean curvature flow through singularities for surfaces of rotation
scientific article; zbMATH DE number 828774

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    Mean curvature flow through singularities for surfaces of rotation (English)
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    14 October 1996
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    The authors consider generalized ``viscosity'' solutions of the mean curvature evolution equation. Much of the paper is devoted to the case of initial values given by a compact, smooth, rotationally symmetric hypersurface obtained by rotating a graph around an axis. The authors prove the regularity of the solutions except at isolated points and give an estimate on the number of such points.
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    evolution equation
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    rotationally symmetric hypersurface
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    regularity
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