TY - JOUR T1 - A Uniqueness Condition for Hyperbolic Systems of Conservation Laws JF - Discrete Contin. Dynam. Systems 6 (2000) 673-682 Y1 - 2000 A1 - Alberto Bressan A1 - Marta Lewicka AB - Consider the Cauchy problem for a hyperbolic $n\\\\times n$ system of conservation laws in one space dimension: $$u_t+f(u)_x=0, u(0,x)=\\\\bar u(x).\\\\eqno(CP)$$ Relying on the existence of a continuous semigroup of solutions, we prove that the entropy admissible solution of (CP) is unique within the class of functions $u=u(t,x)$ which have bounded variation along a suitable family of space-like curves. PB - American Institute of Mathematical Sciences UR - http://hdl.handle.net/1963/3195 U1 - 1106 U2 - Mathematics U3 - Functional Analysis and Applications ER -