论文标题
远程功能具有密集的单数集
Distance functions with dense singular sets
论文作者
论文摘要
我们从$ \ Mathcal {C}^1 $ -HyperSurface在内部球状态方面表征了距离函数的奇异函数的密度，我们解决了eikonal方程的存在的问题，其单数集集的粘度解决方案（即非分辨率点的集合）并非没有。
We characterize the denseness of the singular set of the distance function from a $\mathcal{C}^1$-hypersurface in terms of an inner ball condition and we address the problem of the existence of viscosity solutions of the Eikonal equation whose singular set (i.e. set of non-differentiability points) is not no-where dense.
