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On considere le probleme de Cauchy pour des equations quasilineaires d'ordre 1 de type conservation dans la region t≥0: u t +∑ i=1 u A i (u) x i=0, u(x,o)=u o (x) ou x=(x 1 ,...,x n ), u=u(x,t) et A i , i=1, ..., n sont des fonctions continument differentiables a valeurs reelles d'une seule variable reelle
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Giga et al. (1983) studied this question.
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