SBV Regularity for Genuinely Nonlinear, Strictly Hyperbolic Systems of Conservation Laws in one space dimension

Stefano Bianchini, Laura Caravenna

We prove that if $t\mapsto u(t)\in \mathrm{BV}(\mathbb{R})$ is the entropy solution to a $N\times N$ strictly hyperbolic system of conservation laws with genuinely nonlinear characteri…