Weak KAM from a PDE point of view: viscosity solutions of the Hamilton-Jacobi equation and Aubry set

被引：20

作者：

Fathi, Albert ^{[1
]}

机构：

[1] Ecole Normale Super Lyon, Unite Math Pures & Appl, F-69364 Lyon 07, France

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2012年 / 142卷 / 06期

关键词：

D O I：

10.1017/S0308210550000064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of a viscosity solution for the first-order Hamilton-Jacobi equation, in the more general setting of manifolds, to obtain a weak KAM theory using only tools from partial differential equations. This work should be accessible to people with no prior knowledge of the subject.

引用

页码：1193 / 1236

页数：44

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