Abstract for the talk on 24.10.2017 (16:45 h)Oberseminar ANALYSIS - PROBABILITY
Xavier Lamy (Université Paul Sabatier, Toulouse)
Optimal regularity of entropy solutions to the eikonal equation
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.