A new formulation of local boundary value problem in the framework of hyperfunctions. II

DOI10.3792/pjaa.61.129zbMath0627.35016OpenAlexW4256156106MaRDI QIDQ1092318

Toshinori Oaku

Publication date: 1985

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.61.129

zbMATH Keywords

existenceregular singularitiesnon-characteristic boundaryHolmgren's theoremboundary value homomorphismF- mild hyperfunction solutionshyperfunction solutionsmicro-local boundary value problemsmicrofunction solutions

Mathematics Subject Classification ID

Hyperfunctions, analytic functionals (46F15) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Boundary value problems for linear higher-order PDEs (35G15)

Related Items (2)

Removable singularities of real analytic solutions of Fuchsian partial differential equations ⋮ A new formulation of local boundary value problem in the framework of hyperfunctions. III: Propagation of micro-analyticity up to the boundary

Cites Work

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• A new formulation of local boundary value problem in the framework of hyperfunctions. I
• Systems of differential equations with regular singularities and their boundary value problems
• A definition of boundary values of solutions of partial differential equations with regular singularities
• Cauchy problems with characteristic initial hypersurface

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