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Dans cet article, nous calculons l'indice Gevrey des solutions formelles (avec des conditions initiales donnees) d'une certaine classe d'equations aux derivees partielles non lineaires du premier ordre, du type totalement caracteristique et ayant une singularite irreguliere en la variable spatiale. Nous montrons egalement que l'indice obtenu est generiquement optimal.

Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity