Mather theory for piecewise smooth Lagrangian systems 被引量：1

Mather theory for piecewise smooth Lagrangian systems

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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.

作者 ZHOU Min

机构地区 School of Information Management

出处《Science China Mathematics》 SCIE 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)

关键词 positive definite Lagrangian Mather theory piecewise smooth 拉格朗日系统分段光滑机械系统度量和正定

分类号 O152.7 [理学—基础数学]

作者简介 Email： minzhou@nju.edu.cn

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Mather theory for piecewise smooth Lagrangian systems 被引量：1

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