SBV regularity for Hamilton-Jacobi equations in ${\mathbb{R}}^n$

Stefano Bianchini, Camillo De Lellis, Roger Robyr

In this paper we study the regularity of viscosity solutions to the following Hamilton-Jacobi equations $$ \partial_t u + H(D_{x} u)=0 \qquad \textrm{in} Ω\subset \mathbb R\times \…