Uniqueness sets for minimization formulas

Yasuhiro Fujita; Hitoshi Ishii

Uniqueness sets for minimization formulas

Yasuhiro Fujita, Hitoshi Ishii

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	579-588
Number of pages	10
Journal	Differential and Integral Equations
Volume	25
Issue number	5-6
Publication status	Published - 2012 May

ASJC Scopus subject areas

Analysis
Applied Mathematics

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abstract = "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.",

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Uniqueness sets for minimization formulas

Abstract

ASJC Scopus subject areas

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