A new formulation of local boundary value problem in the framework of hyperfunctions. III: Propagation of micro-analyticity up to the boundary
type: Item
instance of: scholarly article
title: A new formulation of local boundary value problem in the framework of hyperfunctions. III: Propagation of micro-analyticity up to the boundary
zbMATH Open document ID: 0627.35017
published in: Proceedings of the Japan Academy. Series A
publication date: 1985-01-01T00:00:00Z
review text: [For Part II see the preceding review.] The author modifies the notion of micro-hyperbolicity to study microlocal boundary value problems. Propagation of micro-analyticity of solutions up to boundary for (modified-) micro-hyperbolic systems is announced. Micro- analyticity of boundary value of microfunction solutions for regular singular equations is also treated. Details have been published [see J. Fac. Sci., Univ. Tokyo, Sect. I A 33, 175-232 (1986)].
Mathematics Subject Classification ID: 35G15
Mathematics Subject Classification ID: 35A27
Mathematics Subject Classification ID: 46F15
zbMATH DE Number: 4019563
zbMATH Keywords: micro-hyperbolicity
zbMATH Keywords: microlocal boundary value problems
zbMATH Keywords: Propagation of micro-analyticity
zbMATH Keywords: regular singular equations
author: Toshinori Oaku
reviewed by: Shinichi Tajima
MaRDI profile type: Publication
full work available at URL: pjaa.61.197
OpenAlex ID: W2024668658
cites work: Q4098114
cites work: Micro-hyperbolic systems
cites work: Q3909443
cites work: A new formulation of local boundary value problem in the framework of hyperfunctions. I
cites work: A new formulation of local boundary value problem in the framework of hyperfunctions. II
cites work: Propagation at the boundary and reflection of analytic singularities of solutions of linear partial differential equations. I
cites work: Analytic singularities and microhyperbolic boundary value problems
DOI: 10.3792/PJAA.61.197
description: scientific article; zbMATH DE number 4019563