The behaviour near the characteristic surface of singular solutions of linear partial differential equations in the complex domain

DOI10.3792/pjaa.65.102zbMath0706.35002OpenAlexW2099263568MaRDI QIDQ919175

Sunao Ōuchi

Publication date: 1989

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.65.102

zbMATH Keywords

singular solutionscomplex domaincharacteristic surface

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Analyticity in context of PDEs (35A20)

Related Items (3)

On complex singularity analysis for linear partial \(q\)-difference-differential equations using nonlinear differential equations ⋮ On the parametric Stokes phenomenon for solutions of singularly perturbed linear partial differential equations ⋮ On complex singularity analysis for some linear partial differential equations in \(\mathbb C^3\)

Cites Work

• Index, localization and classification of characteristic surfaces for linear partial differential operators
• Characteristic indices and subcharacteristic indices of surfaces for linear partial differential operators
• Systemes d'équations aux dérivées partielles à caractéristiques multiples: problème de Cauchy ramifie, hyperbolicite partielle
• Problème de Cauchy pour les systèmes microdifferentiels dans le domaine complexe
• The singularities of the solution of the Cauchy problem
• 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)
• Problème de Cauchy analytique, à données méromorphes
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