Talk
Optimal regularity of entropy solutions to the eikonal equation
- Xavier Lamy (Université Paul Sabatier, Toulouse)
Abstract
The class of entropy solutions to the eikonal equation arises in connection with the asymptotics of the Aviles-Giga energy. In a joint work with Francesco Ghiraldin we prove, using a new simple form of the kinetic formulation, that this class coincides with the class of solutions which enjoy a certain Besov regularity.
