On functional linear partial differential equations in Gevrey spaces of holomorphic functions.
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 16 (2007) no. 2, pp. 285-302.

Nous étudions l’existence et l’unicité de solutions globales holomorphes sectorielles d’équations fonctionnelles linéaires aux dérivées partielles dans certains espaces de fonctions Gevrey. Une version du théorème de Cauchy-Kowalevskaya pour des équations linéaires aux q-différences-différentielles partielles est également présentée.

We investigate existence and unicity of global sectorial holomorphic solutions of functional linear partial differential equations in some Gevrey spaces. A version of the Cauchy-Kowalevskaya theorem for some linear partial q-difference-differential equations is also presented.

DOI : 10.5802/afst.1149
Malek, Stéphane 1

1 Université de Lille 1, UFR de Mathématiques Pures et Appliquées, Cité Scientifique - Bât. M2, 59655 Villeneuve d’Ascq Cedex France.
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Malek, Stéphane. On functional linear partial differential equations in Gevrey spaces of holomorphic functions.. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 16 (2007) no. 2, pp. 285-302. doi : 10.5802/afst.1149. http://www.numdam.org/articles/10.5802/afst.1149/

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