Optimal regularity of entropy solutions to the eikonal equation

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


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

Upcoming Events of This Seminar

  • 14.05.2024 tba with Barbara Verfürth
  • 14.05.2024 tba with Lisa Hartung
  • 04.06.2024 tba with Vadim Gorin
  • 25.06.2024 tba with Paul Dario
  • 16.07.2024 tba with Michael Loss
  • 20.08.2024 tba with Tomasz Komorowski
  • 03.12.2024 tba with Patricia Gonçalves