RAMIFICATION DES SOLUTIONS DU PROBL\`EME DE CAUCHY FUCHSIEN AU VOISINAGE DE L'HYPERSURFACE INITIALE
Vol. 12 (2005), No. 4, Page 493--512.
PONG\'ERARD, Patrice
RAMIFICATION DES SOLUTIONS DU PROBL\`EME DE CAUCHY FUCHSIEN AU VOISINAGE DE L'HYPERSURFACE INITIALE
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Abstract:
The purpose of this paper is the decision of the domain of ramification near the initial surface $t=0$ of solutions of the Cauchy problem for a linear differential operator of Fuchs type according to Baouendi-Goulaouic. Our main result in theorem 1.1 is as follows : if, for a certain continuous function $f$, the datas are ramified in an open set of the form $\{(t,x)\in{\bf C}\times\O ;\ |t|
Mathematics Subject Classification (1991): primary 35A07 ; secondary 35A20,35A10.
Mathematical Reviews Number: MR2206356
Received: 2005-03-11
