2 problems

Consider the one-dimensional nonlinear conservation law … with bounded initial data and suppose that the non-degeneracy condition of order $\alpha$ holds. Lions–Perthame–Tadmor con…

Let solutions of a $2\times2$ system of conservation laws have initial data with small oscillation, meaning that the data are close in $\mathbf L^\infty$ to a constant. The Glimm–L…