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Motion of level sets by mean curvature III

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Abstract

We continue our investigation [6,7] (see also [4], etc.) of the generalized motion of sets via mean curvature by the level set method. We study more carefully the fine properties of the mean curvature PDE, to obtain Hausdorff measure estimates of level sets and smoothness whenever the level sets are graphs.

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Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    L. C. Evans

  2. Department of Mathematics, University of Massachusetts, 01003, Amherst, MA, USA

    J. Spruck

Authors
  1. L. C. Evans
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  2. J. Spruck
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Additional information

L. C. E. was supported in part by NSF Grant DMS-86-01532. J. S. was supported in part by NSF Grant DMS-88-02858 and DOE Grant DE-FG02-86ER25015.

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Evans, L.C., Spruck, J. Motion of level sets by mean curvature III. J Geom Anal 2, 121–150 (1992). https://doi.org/10.1007/BF02921385

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  • DOI: https://doi.org/10.1007/BF02921385

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