S. BIANCHINI, R. M. COLOMBO and F. MONTI
L∞ solutions for 2 × 2 systems of conservation laws
Received: 20 January 2010
Accepted in revised form: 15 September 2010
Mathematics Subject Classification (2010): 35L65.
Keywords: Hyperbolic conservation laws with L∞ data.
Abstract: We consider a 2 × 2 hyperbolic system of conservation laws with genuinely nonlinear characteristic fields and L∞ data. We extend the existence result of Glimm-Lax removing their assumption on the geometry of the Lax curves.