On Modern Approaches of Hamilton-Jacobi Equations and Control Problems With Discontinuities: A Guide to Theory, Applications, and Some Open Problems

Guy Barles is a former professor at the University of Tours (1990-2021). During his career, his main research theme was nonlinear elliptic and parabolic equations, and in particular Hamilton-Jacobi and nonlocal equations. His main contributions concern various asymptotic problems including Large Deviations, homogenization and rate of convergence for numerical schemes, as well as front propagation problems, optimal control and modelling. He is the author of more than 120 articles, proceedings and books, including an introduction in French to viscosity solutions for Hamilton-Jacobi Equations and deterministic control problems.

Emmanuel Chasseigne is Maître de Conférences at the University of Tours since 2001. His main research themes are nonlinear elliptic and parabolic equations, diffusion equations, Hamilton-Jacobi and nonlocal equations. His main contributions are related to qualitative properties of solutions, optimal initial data, asymptotic problems, and optimal control, representing a total of 40 articles.