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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The generalized Goursat-Darboux problem
for a third order operator


Authors: Jaime Carvalho E Silva and Carlos Leal
Journal: Proc. Amer. Math. Soc. 125 (1997), 471-475
MSC (1991): Primary 35L30, 35E15, 35G10
MathSciNet review: 1363185
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Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)

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Additional Information

Jaime Carvalho E Silva
Affiliation: Departamento de Matemática, Universidade de Coimbra, Apartado 3008, 3000 Coimbra, Portugal
Email: jaimecs@mat.uc.pt

Carlos Leal
Affiliation: Departamento de Matemática, Universidade de Coimbra, Apartado 3008, 3000 Coimbra, Portugal
Email: carlosl@mat.uc.pt

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03684-8
PII: S 0002-9939(97)03684-8
Keywords: Goursat problem, Darboux problem, hypergeometric functions of several variables, third order operators.
Received by editor(s): August 11, 1995
Additional Notes: The first author was partially supported by CMUC-Coimbra and JNICT Project no.PMCT/C/CEN/18/90.
The second author was partially supported by CMUC-Coimbra.
Communicated by: Jeffrey B. Rauch
Article copyright: © Copyright 1997 American Mathematical Society