Well-Posedness fo a Scalar Conservation Law with Singular Non-Conservative
We consider the Cauchy problem for the $2\times 2$ strictly
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 $a^\varepsilon_o$.
ut+f(a,u)x - g(a,u)ax =0
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- Graziano Guerra,
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- Submitted by:
March 19 2004.
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Last modified: Fri Mar 19 18:39:02 MET 2004