Another regularizing property of the 2D eikonal equation

Xavier Lamy, Andrew Lorent, Guanying Peng

A weak solution of the two-dimensional eikonal equation amounts to a vector field $m:\Omega \subset {\mathbb{R}}^2\to {\mathbb{R}}^2$ such that $|m|=1$ a.e. and $\mathrm{div}m=0$ in $\mat…