Waiting Time Effects for Gauss Curvature Flows

D. Chopp*, L. C. Evans, H. Ishii

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


R. Hamilton in [Ham1] proved that a planar region on a convex hypersurface does not "instantly bend", and so instantly vanish, under Gauss curvature flow. We demonstrate that if the surface is smooth, the planar region in fact does not move at all for some positive time. This is a sort of geometric analogue of "waiting time" phenomena for the porous medium equation.

Original languageEnglish (US)
Pages (from-to)311-334
Number of pages24
JournalIndiana University Mathematics Journal
Issue number1
StatePublished - 1999

ASJC Scopus subject areas

  • General Mathematics


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