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

页码：5819 / 5859

页数：41

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