Differential and Integral Equations

Holomorphic global solutions of the Goursat-Fuchs problem

M. Belarbi and M. Mechab

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In this paper, we are interested in sufficient conditions on partial differential operators with several Fuchsian variables. We give a result of existence and uniqueness of global solutions of the associated Goursat problem, in holomorphic function spaces. Our techniques are those of C. Wagschal [35] based on formal norms of Leray-Waelbroeck [17].

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Differential Integral Equations, Volume 19, Number 12 (2006), 1413-1436.

First available in Project Euclid: 21 December 2012

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Belarbi, M.; Mechab, M. Holomorphic global solutions of the Goursat-Fuchs problem. Differential Integral Equations 19 (2006), no. 12, 1413--1436. https://projecteuclid.org/euclid.die/1356050296

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