Asymptotic solutions for large time of Hamilton-Jacobi equations

Hitoshi Ishii

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    5 Citations (Scopus)

    Abstract

    In this article we discuss some recent results on the large-time behavior of solutions of Hamilton-Jacobi equations as well as some ideas and observations behind them and historical remarks concerning them.

    Original languageEnglish
    Title of host publicationInternational Congress of Mathematicians, ICM 2006
    Pages213-227
    Number of pages15
    Volume3
    Publication statusPublished - 2006
    Event25th International Congress of Mathematicians, ICM 2006 - Madrid
    Duration: 2006 Aug 222006 Aug 30

    Other

    Other25th International Congress of Mathematicians, ICM 2006
    CityMadrid
    Period06/8/2206/8/30

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    Keywords

    • Asymptotic solutions
    • Aubry sets
    • Hamilton-Jacobi equations
    • Large-time behavior
    • Viscosity solutions
    • Weak KAM theory

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Ishii, H. (2006). Asymptotic solutions for large time of Hamilton-Jacobi equations. In International Congress of Mathematicians, ICM 2006 (Vol. 3, pp. 213-227)