Uniqueness Domains for ${\mathbf{L}}^{\infty }$ Solutions of $2\times 2$ Hyperbolic Conservation Laws

Alberto Bressan, Elio Marconi, Ganesh Vaidya

For a genuinely nonlinear $2\times 2$ hyperbolic system of conservation laws, assuming that the initial data have small ${\mathbf{L}}^{\infty }$ norm but possibly unbounded total variation…