The Journal of Geometric Analysis

, Volume 2, Issue 2, pp 121–150

Motion of level sets by mean curvature III

  • L. C. Evans
  • J. Spruck

DOI: 10.1007/BF02921385

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


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


Key Words and Phrases

Evolution by mean curvatureHausdorff measureweak solutions of nonlinear PDE

Copyright information

© Mathematica Josephina, Inc. 1992

Authors and Affiliations

  • L. C. Evans
    • 1
  • J. Spruck
    • 2
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  2. 2.Department of MathematicsUniversity of MassachusettsAmherstUSA