Parametrix du Problème de Cauchy C-infinity Hyperbolique Muni d'un Système d'Ordres de Leray-Volevîc

Abstract

Using algebrically conditions of localization and strict hyperbolicity, we construct a matrix of Fourier integral operators. The symbols of these operators and their traces allow to deduce the parametrix of C1 associated Cauchy problem with order system of Leray-Volecˆıc type. We obtain the explicit expression of the solution of this problem.