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The generalized Goursat-Darboux problem for a third order operator
Authors:Jaime Carvalho E Silva   Carlos Leal
Affiliation:Departamento de Matemática, Universidade de Coimbra, Apartado 3008, 3000 Coimbra, Portugal ; Departamento de Matemática, Universidade de Coimbra, Apartado 3008, 3000 Coimbra, Portugal
Abstract:It is proved that if a generalized Goursat-Darboux problem is $C^{infty }$-well posed then the operator cannot contain derivatives with respect to one of the variables.

Keywords:Goursat problem   Darboux problem   hypergeometric functions of several variables   third order operators.
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