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Motion of level sets by mean curvature
by
L. C. Evans
,
J. Spruck
| Venue: | II, Trans. Amer. Math. Soc |
| Citations: | 427 - 6 self |
BibTeX
@ARTICLE{Evans_motionof,
author = {L. C. Evans and J. Spruck},
title = {Motion of level sets by mean curvature},
journal = {II, Trans. Amer. Math. Soc},
year = {}
}
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Abstract
We construct a unique weak solution of the nonlinear PDE which asserts each level set evolves in time according to its mean curvature. This weak solution allows us then to define for any compact set Γ o a unique generalized motion by mean curvature, existing for all time. We investigate the various geometric properties and pathologies of this evolution. 1.
