A regularizing property of the $2D$-eikonal equation - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Communications in Partial Differential Equations Année : 2015

A regularizing property of the $2D$-eikonal equation

Camillo de Lellis
  • Fonction : Auteur
  • PersonId : 954011
Radu Ignat

Résumé

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.

Dates et versions

hal-01673411 , version 1 (29-12-2017)

Identifiants

Citer

Camillo de Lellis, Radu Ignat. A regularizing property of the $2D$-eikonal equation. Communications in Partial Differential Equations, 2015, ⟨10.1080/03605302.2014.999939⟩. ⟨hal-01673411⟩
69 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More