Solutions globales de systèmes hyperboliques non linéaires sur un cône caractéristique

We solve globally, in the unbounded domain Y interior to an infinite characteristic cone C, the Cauchy problem for a class of systems of non linear hyperbolic equations of the second order. The initial data, with small norm and verifying some decay property at infinity, are given on C. To cite this article: M. Dossa, F. Touadera, C. R. Acad. Sci. Paris, Ser. I 341 (2005).