中科院数学与系统科学研究院

数学研究所

学术报告会

报告人：程 伟 教授  (南京大学)

题  目：singular dynamics on cut locus for viscosity solutions

时  间：2017.03.22（星期三），10:00-11:00

地  点：数学院南楼N913室

摘 要：We will talk about our recent work on the global propagation of singularities on the viscosity solutions of Hamilton-Jacobi equations in the frame of weak KAM theory. We will also discuss the semi-dynamics defined by generalized characteristics and their connection to regular dynamics, and also some simple consequences on the topological structure of cut locus. This is based on joint work with Piermarco Cannarsa and Albert Fathi.