### Well-Posedness fo a Scalar Conservation Law with Singular Non-Conservative Source

Graziano Guerra

Abstract: We consider the Cauchy problem for the $2\times 2$ strictly hyperbolic system

at=0,    ut+f(a,u)x - g(a,u)ax =0      (a,u)(0,\cdot)=(ao,uo).
For 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 $a^\varepsilon_o$.

Paper:
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Author(s):
Graziano Guerra, <graziano.guerra@unimib.it>
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