A regularizing property of the $2D$-eikonal equation
A regularizing property of the $2D$-eikonal equation
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.
Camillo De Lellis、Radu Ignat
数学
Camillo De Lellis,Radu Ignat.A regularizing property of the $2D$-eikonal equation[EB/OL].(2014-09-07)[2025-06-27].https://arxiv.org/abs/1409.2102.点此复制
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