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Solutions globales de certaines équations de Fuchs non linéaires dans les espaces de Gevrey
Author(s):
Faiza
Derrab
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1803-1815.
MSC (2000):
Primary 35A05;
Secondary 35G20, 35A20
Posted:
December 28, 2006
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Additional information
Abstract:
We consider nonlinear partial differential equations with several Fuchsian variables of type  , where  is a Fuchsian principal part of weight zero. We prove existence and uniqueness of a global solution to this problem in the space of holomorphic functions with respect to the Fuchsian variable  and in Gevrey spaces with respect to the other variable  . The method of proof is based on the application of the fixed point theorem in some Banach algebras defined by majorant functions that are suitable to this kind of equation.
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Additional Information:
Faiza
Derrab
Affiliation:
86, Avenue Lieutenant Khelladi, 22000 Sidi-Bel-Abbès, Algérie
Email:
nouveaucompte2003@yahoo.fr
DOI:
10.1090/S0002-9939-06-08670-9
PII:
S 0002-9939(06)08670-9
Keywords:
Nonlinear Fuchsian partial differential equation,
several Fuchsian variables,
global solution,
Gevrey classes,
method of majorants,
fixed-point theorem.
Received by editor(s):
March 4, 2005
Received by editor(s) in revised form:
February 6, 2006
Posted:
December 28, 2006
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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