Preprint 2010-003
2×2 Systems of Conservation Laws with L∞ data
Stefano Bianchini, Rinaldo M. Colombo and Francesca Monti
Abstract: Consider a hyperbolic system of conservation laws with genuinely nonlinear characteristic fields. We extend the classical Glimm–Lax result proving the existence of solutions for L∞ initial datum, relaxing the assumptions taken therein on the geometry of the shock–rarefaction curves.