Cauchy problem in multi-anisotropic Gevrey classes for weakly hyperbolic operators
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 1, pp. 21-50.

Voir la notice de l'article dans Biblioteca Digitale Italiana di Matematica

Si dimostra la buona positura del problema di Cauchy per sistemi debolmente iperbolici nell'ambito delle classi Gevrey multi-anisotrope, generalizzanti le classi Gevrey standard. Il risultato è ottenuto sotto le seguenti ipotesi: la parte principale ha e coefficienti costanti; i termini di ordine inferiore soddisfano delle condizioni di tipo Levi; infine i coefficienti dei termini di ordine inferiore appartengono a un'opportuna classe Gevrey anisotropa. Nella dimostrazione viene utilizzata la tecnica della quasi-simmetrizzazione di sistemi di tipo Sylvester, adattata alle classi Gevrey multi-anisotrope e tenendo conto dei termini di ordine inferiore. 
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Calvo, Daniela. Cauchy problem in multi-anisotropic Gevrey classes for weakly hyperbolic operators. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 1, pp. 21-50. https://geodesic-test.mathdoc.fr/item/BUMI_2006_8_9B_1_a1/

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