Abstract:We consider the Cauchy problem for the $2\times 2$ strictly hyperbolic systemFor possibly large, discontinuous data, the continuous dependence of the solution with respect to both $a_o$ and $u_o$ is shown. Moreover the solutions are characterized as unique limits of Kru\v zkov's entropic solutions constructed with regularized initial data $a^\varepsilon_o$.a_{t}=0, u_{t}+f(a,u)_{x}- g(a,u)a_{x}=0 (a,u)(0,\cdot)=(a_{o},u_{o}).

**Paper:**- Available as Postscript (504 Kbytes) or gzipped PostScript (184 Kbytes; uncompress using gunzip).
**Author(s):**- Graziano Guerra, <graziano.guerra@unimib.it>
**Publishing information:****Comments:****Submitted by:**- <graziano.guerra@unimib.it> March 19 2004.

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