【online】Weak KAM and Aubry–Mather theory On graphs
字体大小： 【小】 【中】 【大】
题目: Weak KAM and Aubry–Mather theory On graphs
报告人: Antonio Siconolfi (Università degli Studi di Roma “La Sapienza” )
时间: 2020年07月21日 15:00 - 16:00
报告方式: Zoom APP ID：654 5189 5068 密码：757748
摘要：Even if the structure of graphs is very simple, we show that it is possible to build an adaptation of Weak KAM and Aubry Mather theory in this setting, for a suitable class of Hamiltonians. We recover the main properties of the continuous case. One of the applications we have in mind, , still under investigation, is to extend the homogenization result for Hamilton–Jacobi equations on graphs/networks. A further possible application is to define and study a first order time–dependent Mean Field Games system in this setting. Work in collaboration with Alfonso Sorrentino.