Characteristic initial boundary value problems for symmetric hyperbolic systems
type: Item
instance of: scholarly article
title: Characteristic initial boundary value problems for symmetric hyperbolic systems
zbMATH Open document ID: 0942.35108
author: Tatsuo Nishitani
author: Masahiro Takayama
published in: Osaka Journal of Mathematics
publication date: 1999-01-06T00:00:00Z
review text: The authors consider the initial boundary value problems for symmetric hyperbolic systems of first-order. In this paper, they treat the case where the rank of boundary matrix is not constant. Therefore ``maximal positive'' boundary condition is not sufficient for the well-posedness of the above problems. In this paper, assuming that the initial data are zero, the authors give sufficient conditions so that the above initial boundary value problem admits a weak solution, and also give some estimates for the weak solutions.
reviewed by: Mikio Tsuji
Mathematics Subject Classification ID: 35L50
Mathematics Subject Classification ID: 35B30
zbMATH DE Number: 1216676
zbMATH Keywords: non-constant rank of boundary matrix
zbMATH Keywords: well-posedness
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1216676