English

Optimal Besov differentiability for entropy solutions of the Eikonal equation

Analysis of PDEs 2018-02-06 v1

Abstract

In this paper we study the Eikonal equation in a bounded planar domain. We prove the equivalence among optimal Besov regularity, the finiteness of every entropy production and the validity of a kinetic formulation.

Keywords

Cite

@article{arxiv.1802.01373,
  title  = {Optimal Besov differentiability for entropy solutions of the Eikonal equation},
  author = {Francesco Ghiraldin and Xavier Lamy},
  journal= {arXiv preprint arXiv:1802.01373},
  year   = {2018}
}