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- W2065780703 abstract "We give a new proof of Brakke's partial regularity theorem up to C^{1,varsigma} for weak varifold solutions of mean curvature flow by utilizing parabolic monotonicity formula, parabolic Lipschitz approximation and blow-up technique. The new proof extends to a general flow whose velocity is the sum of the mean curvature and any given background flow field in a dimensionally sharp integrability class. It is a natural parabolic generalization of Allard's regularity theorem in the sense that the special time-independent case reduces to Allard's theorem." @default.
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- W2065780703 date "2013-04-13" @default.
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- W2065780703 title "A general regularity theory for weak mean curvature flow" @default.
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- W2065780703 doi "https://doi.org/10.1007/s00526-013-0626-4" @default.
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