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arXiv · 1409.2102

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

Camillo De Lellis·Radu Ignat
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Abstract

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.

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Camillo De Lellis, Radu Ignat. 2014-09-07. A regularizing property of the $2D$-eikonal equation. https://arxiv.org/abs/1409.2102

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