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Notre objet est de décrire des résultats de propagation des singularités pour des opérateurs pseudo-différentiels dont le symbole se comporte comme une somme asymptotique de fonctions quasi homogènes ; c’est le cas par exemple des opérateurs pseudo-différentiels à caractéristiques multiples involutifs une fois réduits par une transformation canonique convenable. Nous prouvons ces résultats à l’aide d’une version microlocale des estimations de Carleman, les fonctions-poids ayant été adaptées à notre...
In this talk we extend to Gevrey-s obstacles with a result on the poles free zone due to J. Sjöstrand [8] for the analytic case.
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