The method of characteristics revisited. A viability approach
Dynamical Systems
2007-05-23 v1
Abstract
This mini-course provides a presentation of the method of characteristics to initial/boundary-value problems for systems of first-order partial differential equations and to Hamilton-Jacobi variational inequalities. In particular, these results are indeed useful for the treatment of hybrid systems of control theory. We rely on tools forged by set-valued analysis and viability theory, which happen to be both efficient and versatile to cover many problems. They find here unexpected relevance.
Cite
@article{arxiv.math/9906178,
title = {The method of characteristics revisited. A viability approach},
author = {Jean-Pierre Aubin},
journal= {arXiv preprint arXiv:math/9906178},
year = {2007}
}