Motion of level sets by mean curvature. I

作者: L. C. Evans , J. Spruck

DOI: 10.4310/JDG/1214446559

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摘要: We continue our investigation of the “level-set” technique for describing generalized evolution hypersurfaces moving according to their mean curvature. The principal assertion this paper is a kind reconciliation with geometric measure theoretic approach pioneered by K. Brakke: we prove that almost every level set solution curvature PDE in fact aunit-density varifold its In particular, a.e. endowed “geometric structure.” proof utilizes compensated compactness methods pass limits various expressions.

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