Preprint 2001-047

On Maximal and Minimal Generalized Entropy Solutions to Cauchy Problem for a First-Order Quasilinear Equation


Abstract: We prove existence of maximal and minimal generalized entropy solutions (g.e.s.) of the Cauchy problem for a first-order quasilinear equation in the case of only continuous flux vector and give some usefull applications. In particular we establish uniqueness of g.e.s. for input data which are peroidic with respect to some linear independent $n-1$ spatial vectors ($n$ is number of spatial variables).

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E.Yu.Panov, <>
Publishing information:
Prepublished in Laboratoire de mathematiques de Besancon. 2000. No. 2000/26
Submitted by:
<> November 16 2001.

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