Uniqueness sets for minimization formulas

Yasuhiro Fujita, Hitoshi Ishii

    研究成果: Article査読

    抄録

    In this paper, we consider minimization formulas which arise typically in optimal control and weak KAM theory for Hamilton Jacobi equations. Given a minimization formula, we define a uniqueness set for the formula, which replaces the original region of minimization without changing its values. Our goal is to provide a necessary and sufficient condition that a given set be a uniqueness set. We also provide a characterization of the existence of a minimal uniqueness set with respect to set inclusion.

    本文言語English
    ページ(範囲)579-588
    ページ数10
    ジャーナルDifferential and Integral Equations
    25
    5-6
    出版ステータスPublished - 2012 5

    ASJC Scopus subject areas

    • 分析
    • 応用数学

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