Goursat problem for a microdifferential operator of Fuchsian type and its application

DOI10.2977/prims/1195145149zbMath0926.35168OpenAlexW2060388431MaRDI QIDQ1387736

Susumu Yamazaki

Publication date: 6 December 1999

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195145149

zbMATH Keywords

microfunctionsGoursat problemmicrodifferential operators of Fuchsian type

Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Hyperfunctions (32A45) Initial value problems for PDEs with pseudodifferential operators (35S10)

Cites Work

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• Systèmes différentiels fuchsiens le long d'une sous-variété. (Fuchsian differential systems along a submanifold)
• Micro-local Cauchy problems and local boundary value problems
• Micro-hyperbolic pseudo-differential operators. I
• Propagation des singularités analytiques pour les solutions des équations aux derivées partielles
• Micro-hyperbolic systems
• Pseudo-differential operators and Gevrey classes
• Une généralisation du problème de Goursat pour des systèmes d'équations intégro-différentielles holomorphes ou partiellement holomorphes
• Cauchy problems with characteristic initial hypersurface

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