The generalized Goursat-Darboux problem for a third order operator

DOI10.1090/S0002-9939-97-03684-8zbMath0862.35020MaRDI QIDQ4332972

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Publication date: 19 February 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

compatibility conditions

Mathematics Subject Classification ID

Initial value problems for linear higher-order PDEs (35G10) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (3)

Singular solutions of a characteristic Goursat problem with discontinuous data ⋮ Explicit solutions of a characteristic Goursat problem without the generalized Levi's condition ⋮ Asymptotic representations for a class of multiple hypergeometric functions with a dominant variable

Cites Work

• Caractéristique multiples et bicaractéristiques des systèmes d'équations aux derivées partielles linéaires et à coefficients constants
• Donnees de Cauchy portees par une caractéristique double, dans le cas d'un système linéaire d'équations aux dérivées partielles, rôle des bicaractéristiques
• The special functions and their approximations. Vol. I, II
• On the $C^\infty$-Goursat problem for $2$nd order equations with real constant coefficients
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