Mather theory for piecewise smooth Lagrangian systems

作者：Zhou Min^*

来源：Science China Mathematics, 2014, 57(5): 1033-1044.

DOI：10.1007/s11425-013-4744-4

• positive definite Lagrangian
• Mather theory
• piecewise smooth

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.

• 出版日期2014-5
• 单位南京大学