$2D$程函方程的正则化性质
A regularizing property of the $2D$-eikonal equation
摘要：
我们证明了程函方程的任何$2$维解$ψ\in W_{loc}^{1+\frac 1 3, 3}$都有局部Lipschitz梯度$\nabla ψ$，除了在局部有限个涡处.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
