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Optimal regularity of entropy solutions to the eikonal equation

  • Xavier Lamy (Université Paul Sabatier, Toulouse)
Felix-Klein-Hörsaal Universität Leipzig (Leipzig)

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.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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