Characteristic Cauchy problems and solutions of formal power series

DOI10.5802/aif.907zbMath0494.35017OpenAlexW2016591727MaRDI QIDQ5905215

Sunao Ōuchi

Publication date: 1983

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1983__33_1_131_0

zbMATH Keywords

Cauchy problemholomorphic coefficientsformal solutionholomorphic data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Series solutions to PDEs (35C10) Initial value problems for linear higher-order PDEs (35G10)

Related Items (9)

The behaviour of solutions with singularities on a characteristic surface to linear partial differential equations in the complex domains ⋮ Existence of solutions with asymptotic expansion of linear partial differential equations in the complex domain ⋮ On the Borel summability of divergent solutions of the heat equation ⋮ Newton polygons and formal Gevrey classes ⋮ A generalisation of the Cauchy-Kovalevskaïa theorem ⋮ An integral representation of singular solutions and removable singularities of solutions to linear partial differential equations ⋮ Index, localization and classification of characteristic surfaces for linear partial differential operators ⋮ On analytic solutions of the heat equation with an operator coefficient ⋮ Multisummability of formal solutions of some linear partial differential equations

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• Systemes d'équations aux dérivées partielles à caractéristiques multiples: problème de Cauchy ramifie, hyperbolicite partielle
• The singularities of the solution of the Cauchy problem
• Problème de Cauchy analytique, à données méromorphes
• ON KOWALEWSKIAN SYSTEMS
• Characteristic Cauchy problems and solutions of formal power series

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