Local singular characteristics on $$\mathbb {R}^2$$
Local singular characteristics on $$\mathbb {R}^2$$
The singular set of a viscosity solution to a Hamilton-Jacobi equation is known to propagate, from any noncritical singular point, along singular characteristics which are curves satisfying certain differential inclusions. In the literature, different notions of singular characteristics were introduced. However, a general uniqueness criterion for singular characteristics, not restricted …