Stability of mean convex cones under mean curvature flow

J. Clutterbuck*, O. C. Schnürer

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)

    Abstract

    We consider graphical solutions to mean curvature flow and obtain a stability result for homothetically expanding solutions coming out of cones of positive mean curvature. If another solution is initially close to the cone at infinity, then the difference to the homothetically expanding solution becomes small for large times. The proof involves the construction of appropriate barriers.

    Original languageEnglish
    Pages (from-to)535-547
    Number of pages13
    JournalMathematische Zeitschrift
    Volume267
    Issue number3
    DOIs
    Publication statusPublished - Apr 2011

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