Index, localization and classification of characteristic surfaces for linear partial differential operators

DOI10.3792/PJAA.60.189zbMath0558.35009OpenAlexW2138116991MaRDI QIDQ762684

Sunao Ōuchi

Publication date: 1984

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.60.189

zbMATH Keywords

indexholomorphic coefficientslocalizationclassification of characteristic surfaces

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Geometric theory, characteristics, transformations in context of PDEs (35A30) Linear higher-order PDEs (35G05)

Related Items (5)

The behaviour of solutions with singularities on a characteristic surface to linear partial differential equations in the complex domains ⋮ The behaviour near the characteristic surface of singular solutions of linear partial differential equations in the complex domain ⋮ An integral representation of singular solutions and removable singularities of solutions to linear partial differential equations ⋮ Asymptotic expansion of singular solutions and the characteristic polygon of linear partial differential equations in the complex domain ⋮ Multisummability of formal solutions of some linear partial differential equations

Cites Work

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• On the initial-value problems with data on a characteristic hypersurface
• Characteristic indices and subcharacteristic indices of surfaces for linear partial differential operators
• Probléme de Cauchy analytique à données singulières pour un opérateur différentiel bien décomposable. (An analytic Cauchy problem with singular data for a well decomposable differential operator)
• Cauchy problems with characteristic initial hypersurface
• Characteristic Cauchy problems and solutions of formal power series

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