Waiting Time Effects for Gauss Curvature Flows

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

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

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
Pages (from-to)311-334
Number of pages24
JournalIndiana University Mathematics Journal
Volume48
Issue number1
Publication statusPublished - 1999 Mar
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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