On functional linear partial differential equations in Gevrey spaces of holomorphic functions.

Stéphane Malek[1]

  • [1] Université de Lille 1, UFR de Mathématiques Pures et Appliquées, Cité Scientifique - Bât. M2, 59655 Villeneuve d’Ascq Cedex France.

Annales de la faculté des sciences de Toulouse Mathématiques (2007)

  • Volume: 16, Issue: 2, page 285-302
  • ISSN: 0240-2963

Abstract

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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.

How to cite

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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 16.2 (2007): 285-302. <http://eudml.org/doc/10052>.

@article{Malek2007,
abstract = {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.},
affiliation = {Université de Lille 1, UFR de Mathématiques Pures et Appliquées, Cité Scientifique - Bât. M2, 59655 Villeneuve d’Ascq Cedex France.},
author = {Malek, Stéphane},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
language = {eng},
number = {2},
pages = {285-302},
publisher = {Université Paul Sabatier, Toulouse},
title = {On functional linear partial differential equations in Gevrey spaces of holomorphic functions.},
url = {http://eudml.org/doc/10052},
volume = {16},
year = {2007},
}

TY - JOUR
AU - Malek, Stéphane
TI - On functional linear partial differential equations in Gevrey spaces of holomorphic functions.
JO - Annales de la faculté des sciences de Toulouse Mathématiques
PY - 2007
PB - Université Paul Sabatier, Toulouse
VL - 16
IS - 2
SP - 285
EP - 302
AB - 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.
LA - eng
UR - http://eudml.org/doc/10052
ER -

References

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