The method of characteristics revisited. A viability approach
- Author(s): Aubin, Jean-Pierre
- et al.
Published Web Locationhttps://arxiv.org/pdf/math/9906178.pdf
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.