Scalar Reduction Tchniques for Weakly Coupled Hamilton-Jacobi Systems
Analysis of PDEs
2017-01-31 v1
Abstract
We study a class of weakly coupled systems of Hamilton{Jacobi equations at the critical level. We associate to it a family of scalar discounted equation. Using control{theoretic tech- niques we construct an algorithm which allows obtaining a critical solution to the system as limit of a monotonic sequence of subsolutions. We moreover get a characterization of isolated points of the Aubry set and establish semiconcavity properties for critical subsolutions.
Cite
@article{arxiv.1701.08390,
title = {Scalar Reduction Tchniques for Weakly Coupled Hamilton-Jacobi Systems},
author = {Antonio Siconolfi and Sahar Zabad},
journal= {arXiv preprint arXiv:1701.08390},
year = {2017}
}