Xavier Lamy (U. Paul Sabatier Toulouse III, France)
The class of entropy solutions to the eikonal equation arises in connection with the asymptotics of the Aviles-Giga energy, a model related to smectic liquid crystals, thin film elasticity and micromagnetism. 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.
Xavier Lamy (U. Paul Sabatier, Toulouse, France)
Francesco Ghiraldin (U. Basel, Suisse)