Moving surfaces by non-concave curvature functions

Ben Andrews*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    35 Citations (Scopus)

    Abstract

    A convex surface contracting by a strictly monotone, homogeneous degree one function of its principal curvatures remains smooth until it contracts to a point in finite time, and is asymptotically spherical in shape. No assumptions are made on the concavity of the speed as a function of principal curvatures. We also discuss motion by functions homogeneous of degree greater than 1 in the principal curvatures.

    Original languageEnglish
    Pages (from-to)649-657
    Number of pages9
    JournalCalculus of Variations and Partial Differential Equations
    Volume39
    Issue number3
    DOIs
    Publication statusPublished - 2010

    Fingerprint

    Dive into the research topics of 'Moving surfaces by non-concave curvature functions'. Together they form a unique fingerprint.

    Cite this