On Maximal and Minimal Generalized Entropy Solutions to Cauchy Problem for
a First-Order Quasilinear Equation
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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- Publishing information:
- Prepublished in Laboratoire de mathematiques de
Besancon. 2000. No. 2000/26
- Submitted by:
November 16 2001.
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