题 目:Aubry-Mather and weak KAM theories for contact Hamiltonian systems
报告人: 严军 教授 ( 复旦大学)
摘 要:In this talk, we study Aubry-Mather theory and weak KAM theory for contact Hamiltonian systems with the Hamiltonian strictly increasing in the u argument. First, we study the existence of backward and forward weak KAM solutions of the stationary Hamilton-Jacobi equation. Next, we analyze the Aubry set for the contact Hamiltonian systems. At last, we discuss the large-time behavior of viscosity solutions of Cauchy problem, when the Hamiltonians is strictly decreasing in the u argument.
时 间: 2018年6月18日(星期一)16:00–17:00
地 点: 蒙民伟楼1105报告厅
邀请人:程伟 老师