Motion of level sets by mean curvature III Article

DOI :
10.1007/BF02921385

Cite this article as: Evans, L.C. & Spruck, J. J Geom Anal (1992) 2: 121. doi:10.1007/BF02921385
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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.

Math Subject Classification 53A10 53A99 35K55

Key Words and Phrases Evolution by mean curvature Hausdorff measure weak solutions of nonlinear PDE 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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Authors and Affiliations 1. Department of Mathematics University of California Berkeley USA 2. Department of Mathematics University of Massachusetts Amherst USA