### Uniqueness of Weak Solutions to Systems of Conservation Laws

Alberto Bressan and Philippe LeFloch

Abstract: Consider a strictly hyperbolic $n\times n$ system of conservation laws in one space dimension:
u_t+F(u)_x=0. \eqno(*)
Relying on the existence of the Standard Riemann Semigroup generated by (*), we establish the uniqueness of entropy--admissible weak solutions to the Cauchy problem, under a mild assumption on the variation of $u$ along space--like segments.

Paper:
Available as PostScript.
Title:
Uniqueness of Weak Solutions to Systems of Conservation Laws
Author(s):
Alberto Bressan, <bressan@sissa.it>
Philippe LeFloch, <lefloch@cmapx.polytechnique.fr>
Publishing information:
To appear on Archive for Rational Mechanics and Analysis.
Submitted by:
<rinaldo@imiucca.csi.unimi.it> July 5 1996.

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