The simple beauty of the eikonal equation
Salle de séminaire LMRS.
In its simplest form, the eikonal equation reads |u' | = 1. The right notion of solution seems to be viscosity solutions, that are, in a sense, maximal. This remark opens on an analytical method of resolution very close to the spectral decomposition of linear operators, and highlights the deep connection between viscosity and control problems.