Weak KAM theory for discounted Hamilton-Jacobi equations and its application

被引：8

作者：

Mitake, Hiroyoshi ^{[1
]}

Soga, Kohei ^{[2
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

[2] Keio Univ, Fac Sci & Technol, Dept Math, Kohoku Ku, 3-14-1 Hiyoshi, Yokohama, Kanagawa 2238522, Japan

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 57卷 / 03期

关键词：

AUBRY-MATHER THEORY; VISCOSITY SOLUTIONS; CONVERGENCE; ORBITS;

D O I：

10.1007/s00526-018-1359-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Weak KAM theory for discounted Hamilton-Jacobi equations and corresponding discounted Lagrangian/Hamiltonian dynamics is developed. Then it is applied to error estimates for viscosity solutions in the vanishing discount process. The main feature is to introduce and investigate the family of -limit points of minimizing curves, with some details in terms of minimizing measures. In error estimates, the family of -limit points is effectively exploited with properties of the corresponding dynamical systems.

引用

页数：32

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