Gradient and oscillation estimates and their applications in geometric PDE

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    Abstract

    We describe some recent �oscillation� estimates in geometric PDE, where estimates are produced using the maximum principle applied to functions depending on several points. Applications include sharp short-time regularity results, sharp long-time behaviour which related closely to optimal estimates on eigenvalues, and elegant proofs of several key results on geometric evolution equations.
    Original languageEnglish
    Title of host publicationProceedings of International Congress of Chinese Mathematicians 2012
    Place of PublicationUnited State of America
    PublisherAmerican Mathematical Society
    Pages3-19
    EditionPeer Reviewed
    ISBN (Print)0821875558
    Publication statusPublished - 2012
    EventInternational Congress of Chinese Mathematicians (ICCM 2012) - Berlin Germany
    Duration: 1 Jan 2012 → …

    Conference

    ConferenceInternational Congress of Chinese Mathematicians (ICCM 2012)
    Period1/01/12 → …
    OtherApril 13-15 2012

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