Cycle Chacterization of the Aubry Set for Weakly Coupled Hamilton-Jacobi Systems
Analysis of PDEs
2016-04-28 v1
Abstract
We study a class of weakly coupled systems of Hamilton-acobi equations using the random frame introduced in a previous paper of Mitake-Siconolfi-Tran-Yamada. We provide a cycle condition characterizing the points of Aubry set. This generalizes a property already known in the scalar case.
Cite
@article{arxiv.1604.08012,
title = {Cycle Chacterization of the Aubry Set for Weakly Coupled Hamilton-Jacobi Systems},
author = {Hassan Ibrahim and Antonio Siconolfi and Sahar Zabad},
journal= {arXiv preprint arXiv:1604.08012},
year = {2016}
}