%0 Journal Article %J Discrete Contin. Dynam. Systems 6 (2000) 673-682 %D 2000 %T A Uniqueness Condition for Hyperbolic Systems of Conservation Laws %A Alberto Bressan %A Marta Lewicka %X 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. %B Discrete Contin. Dynam. Systems 6 (2000) 673-682 %I American Institute of Mathematical Sciences %G en_US %U http://hdl.handle.net/1963/3195 %1 1106 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-27T16:44:05Z\\nNo. of bitstreams: 1\\n033.pdf: 151263 bytes, checksum: 7e5335ead21fcf20991edff341d1f424 (MD5)