# A regularizing property of the 2d-eikonal equation

created by delellis on 02 Sep 2014
modified on 16 Dec 2014

[BibTeX]

Preprint

Inserted: 2 sep 2014
Last Updated: 16 dec 2014

Journal: CPDE
Year: 2014
We prove that any $2$-dimensional solution $\psi\in W_{loc}^{1+\frac 1 3, 3}$ of the eikonal equation has locally Lipschitz gradient $\nabla \psi$ except at a locally finite number of vortices.