25-27 April 2018
Institut de mathématique Simion Stoilow de l'Académie Roumaine
Europe/Bucharest timezone

Régularité optimale des solutions d'entropie de l'équation eikonale/Optimal regularity of entropy solutions to the Eikonal equation

26 Apr 2018, 11:30


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.

Primary author

Xavier Lamy (U. Paul Sabatier, Toulouse, France)


Francesco Ghiraldin (U. Basel, Suisse)

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