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

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.

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.

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, Serie 6, Volume 16 (2007) no. 2, pp. 285-302. doi : 10.5802/afst.1149. http://archive.numdam.org/articles/10.5802/afst.1149/

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