%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
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