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Evolution of noncompact hypersurfaces by mean curvature minus a kind of external force field - MaRDI portal

Evolution of noncompact hypersurfaces by mean curvature minus a kind of external force field (Q977664)

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scientific article; zbMATH DE number 5724869
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Evolution of noncompact hypersurfaces by mean curvature minus a kind of external force field
scientific article; zbMATH DE number 5724869

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    Evolution of noncompact hypersurfaces by mean curvature minus a kind of external force field (English)
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    23 June 2010
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    The evolution of a noncompact hypersurface moving by mean curvature minus an external force field is studied.The author proves that the flow has a long-time smooth solution for a kind of special external force fields if the initial hypersurface is a Lipschitz entire graph with linear growth.
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    parabolic equation
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    mean curvature flow
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    maximum principle
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