Some results on the well-posedness for systems with time dependent coefficients
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 18 (2009) no. 2, pp. 247-284.

On considère des systèmes hyperboliques dont les coefficients ne dépendent que du temps. On donne des conditions suffisantes pour que le problème de Cauchy soit bien posé en 𝒞 et dans les espaces de Gevrey

We consider hyperbolic systems with time dependent coefficients and size 2 or 3. We give some sufficient conditions in order the Cauchy Problem to be well-posed in 𝒞 and in Gevrey spaces.

DOI : 10.5802/afst.1206
D’Abbicco, Marcello 1 ; Taglialatela, Giovanni 2

1 Dipartimento di Matematica, Università di Bari, via E. Orabona 4, 70125 Bari – Italy
2 Dipartimento di Scienze Economiche e Metodi Matematici, Facoltà di Economia, Università di Bari, via C. Rosalba 53, 70124 Bari – Italy
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D’Abbicco, Marcello; Taglialatela, Giovanni. Some results on the well-posedness for systems with time dependent coefficients. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 18 (2009) no. 2, pp. 247-284. doi : 10.5802/afst.1206. http://www.numdam.org/articles/10.5802/afst.1206/

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