Aubry-Mather theory on graphs

被引：0
|
作者：
Siconolfi, Antonio [1 ]
Sorrentino, Alfonso [2 ]
机构：
[1] Sapienza Univ Roma, Dipartimento Matemat, Rome, Italy
[2] Univ Roma Tor Vergata, Dipartimento Matemat, Rome, Italy
来源：
NONLINEARITY | 2023年 / 36卷 / 11期
关键词：
Aubry-Mather theory; Hamiltonians on networks; weak KAM; HAMILTON-JACOBI EQUATIONS; MEAN-FIELD GAMES; HOMOGENIZATION; TRANSPORT; EXISTENCE; MODEL;
D O I：
10.1088/1361-6544/acf6ef
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We formulate Aubry-Mather theory for Hamiltonians/Lagrangians defined on graphs, study the structure of minimizing measures, and discuss the relationship with weak KAM theory developed in Siconolfi and Sorrentino (2018 Anal. PDE 1 171-211). Moreover, we describe how to transport and interpret these results on networks.
引用
收藏
页码：5819 / 5859
页数：41
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