Abstract: 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.
mailto:conservation@math.ntnu.no Last modified: Wed Aug 12 14:45:09 1998