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.
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页数：32
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