A new formulation of local boundary value problem in the framework of hyperfunctions. II
type: Item
instance of: scholarly article
title: A new formulation of local boundary value problem in the framework of hyperfunctions. II
zbMATH Open document ID: 0627.35016
published in: Proceedings of the Japan Academy. Series A
publication date: 1985-01-01T00:00:00Z
review text: [For part I see ibid. 60, 283-286 (1984; Zbl 0576.35017).] The author studies micro-local boundary value problems for systems of linear partial differential equations with non-characteristic boundary and for single equations with regular singularities. He first shows that the boundary value homomorphism for hyperfunction solutions and that of F-mild hyperfunction solutions coincides for the non-characteristic case. He shows the existence of a boundary value homomorphism for microfunction solutions and announces a microlocal version of Holmgren's theorem for hyperfunction solutions.
Mathematics Subject Classification ID: 35G15
Mathematics Subject Classification ID: 35A27
Mathematics Subject Classification ID: 46F15
zbMATH DE Number: 4019562
zbMATH Keywords: micro-local boundary value problems
zbMATH Keywords: non-characteristic boundary
zbMATH Keywords: regular singularities
zbMATH Keywords: boundary value homomorphism
zbMATH Keywords: hyperfunction solutions
zbMATH Keywords: F- mild hyperfunction solutions
zbMATH Keywords: existence
zbMATH Keywords: microfunction solutions
zbMATH Keywords: Holmgren's theorem
author: Toshinori Oaku
reviewed by: Shinichi Tajima
MaRDI profile type: Publication
full work available at URL: pjaa.61.129
OpenAlex ID: W4256156106
cites work: Cauchy problems with characteristic initial hypersurface
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DOI: 10.3792/PJAA.61.129
description: scientific article; zbMATH DE number 4019562