A singular Cauchy problem for the Euler-Poisson-Darboux equation

DOI10.1016/J.MATPUR.2009.11.008zbMath1187.35021OpenAlexW1982385158MaRDI QIDQ963012

Jiichiroh Urabe, Takuya Watanabe

Publication date: 8 April 2010

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2009.11.008

zbMATH Keywords

hypergeometric functionmonodromy theoryramified Cauchy data

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Series solutions to PDEs (35C10) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (1)

Singularities of solutions of the Fuchsian Cauchy problem with ramified data

Cites Work

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• Hamada's theorem for a certain type of the operators with double characteristics
• Singular Cauchy problem for a certain linear and 2nd order equation
• Systemes d'équations aux dérivées partielles à caractéristiques multiples: problème de Cauchy ramifie, hyperbolicite partielle
• The method of Frobenius to Fuchsian partial differential equations
• The singularities of the solution of the Cauchy problem
• Representation hypergéométrique des singularités de la solution du problème de Cauchy caractéristique à données holomorphes
• Sur l’existence d’une solution ramifiée pour des équations de Fuchs à caractéristique simple
• Cauchy problems with characteristic initial hypersurface

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