Cauchy problems for Fuchsian hyperbolic partial differential equations

DOI10.3792/pjaa.54.92zbMath0403.35062OpenAlexW1979551563MaRDI QIDQ1256125

Hidetoshi Tahara

Publication date: 1978

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.54.92

zbMATH Keywords

Cauchy ProblemWell-PosednessExistence and UniquenessFuchsian Hyperbolic Equations

Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10) Degenerate hyperbolic equations (35L80) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (7)

Local solutions for holomorphic Fuchsian operators in several variables ⋮ Asymptotic expansions of solutions of Fuchsian hyperbolic partial differential equations ⋮ Uniqueness and non uniqueness in the Cauchy problem for a class of operators of degenerate type ⋮ Uniqueness and nonuniqueness in the Cauchy problem for a class of operators of degenerate type ⋮ Bicharacteristics and Fourier integral operators in Kasner spacetime ⋮ On exceptional cases of Cauchy problems for Fuchsian partial differential operators ⋮ Cauchy problems for Fuchsian hyperbolic equations in spaces of functions of Gevrey classes

Cites Work

• On the initial-value problems with data on a characteristic hypersurface
• The structure of local solutions of partial differential equations of the Fuchsian type
• The Cauchy Problem for Weakly Hyperbolic Equations
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
• Calcul de la solution élémentaire de l'opérateur d'Euler-Poisson-Darboux et de l'opérateur de Tricomi-Clairaut, hyperbolique, d'ordre 2
• Cauchy problems with characteristic initial hypersurface
• Unnamed Item

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