Mather theory for piecewise smooth Lagrangian systems  

作　　者：ZHOU Min 

机构地区：[1]School of Information Management,Nanjing University

出　　处：《Science China Mathematics》2014年第5期1033-1044,共12页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11201222 and 11171146);Basic Research Program of Jiangsu Province(Grant No.BK2008013)

摘　　要：We establish the Mather theory for a type of piecewise smooth and positive definite Lagrangian systems.It models a mechanical system subject to external impulsive forcing.We show the existence of the minimal measure and the Lipschitz property of Aubry set.In addition,the weak KAM solution to this kind of piecewise smooth Lagrangian is also established.We establish the Mather theory for a type of piecewise smooth and positive definite Lagrangian systems. It models a mechanical system subject to external impulsive forcing. We show the existence of the minimal measure and the Lipschitz property of Aubry set. In addition,the weak KAM solution to this kind of piecewise smooth Lagrangian is also established.

关 键 词：positive definite Lagrangian Mather theory piecewise smooth 

分 类 号：O152.7[理学—数学]