Work

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

Year: 2014

Type: article

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

Source: Zurich Open Repository and Archive (University of Zurich)

DOI: 10.48550/arxiv.1409.2102

Authors: De Lellis, Camillo, Ignat, Radu

Institutions: University of Zurich, Université Toulouse III - Paul Sabatier, Institut de Mathématiques de Toulouse

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2951457040

FWCI:

Cites: 14

Cited by: 4

Related to: 20