On the boundary value of a solution of the heat equation
type: Item
instance of: scholarly article
title: On the boundary value of a solution of the heat equation
zbMATH Open document ID: 0696.35066
author: Takahiro Kawai
author: Tadato Matsuzawa
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1989-01-01T00:00:00Z
review text: It is well-known [see \textit{H. Komatsu} and the first author, Publ. Res. Inst. Math. Sci., Kyoto Univ. 7, 95-104 (1971; Zbl 0225.35032)] and \textit{P. Schapira} [An. Acad. Bras. Ci. 43, 39-44 (1971; Zbl 0234.46043)] that the boundary value of a (hyperfunction) solution of a linear differential equation on a non-characteristic surface is a well-defined hyperfunction. However, little is known about the characterization of a solution whose boundary value determines a hyperfunction near a characteristic boundary point. This article discusses this problem in a special case of a heat equation, and this gives a reasonable sufficient condition.
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 46F15
zbMATH DE Number: 4140296
zbMATH Keywords: characteristic boundary point
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195173353
OpenAlex ID: W2055470370
cites work: Q5683154
cites work: Q5520962
cites work: Q5614215
cites work: Q5673937
cites work: Q4165767
cites work: Boundary values of hyperfunction solutions of linear partial differential equations
DOI: 10.2977/PRIMS/1195173353
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description: scientific article; zbMATH DE number 4140296