UNIQUENESS SETS FOR MINIMIZATION FORMULAS

被引：0

作者：

Fujita, Yasuhiro ^{[1
]}

Ishii, Hitoshi ^{[2
,3
]}

机构：

[1] Toyama Univ, Dept Math, Toyama 9308555, Japan

[2] Waseda Univ, Dept Math, Shinjuku Ku, Tokyo 1698050, Japan

[3] King Abdulaziz Univ, Dept Math, Jeddah 2158, Saudi Arabia

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2012年 / 25卷 / 5-6期

关键词：

HAMILTON-JACOBI EQUATIONS; AUBRY-MATHER THEORY; CONVEX HAMILTONIANS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：579 / 588

页数：10

共 13 条

[1]

[Anonymous], 1994, MATH APPL

[2]

Bardi M., 1997, Optimal control and viscosity solutions of HamiltonJacobi-Bellman equations

[3] The asymptotic behaviour of solutions of the forced Burgers equation on the circle [J].