On commuting Tonelli Hamiltonians: Autonomous case

被引：4
|
作者：
Cui, Xiaojun [1 ]
Li, Ji [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu Prov, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 250卷 / 11期
基金：
中国国家自然科学基金;
关键词：
KAM SOLUTIONS; WEAK KAM;
D O I：
10.1016/j.jde.2011.01.020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the Aubry sets, the Mane sets and the barrier functions are the same for two commuting autonomous Tonelli Hamiltonians. We also show the quasi-linearity of a-functions from the viewpoint of dynamics and the existence of common C-1.1 critical subsolution for their associated Hamilton-Jacobi equations. (C) 2011 Elsevier Inc. All rights reserved.
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页码：4104 / 4123
页数：20
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