Canonical forms of \(3\times 3\) strongly and nonstrictly hyperbolic systems with complex constant coefficients
type: Item
instance of: scholarly article
title: Canonical forms of \(3\times 3\) strongly and nonstrictly hyperbolic systems with complex constant coefficients
zbMATH Open document ID: 0797.35108
author: Yorimasa Oshime
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1994-10-18T00:00:00Z
review text: Consider a \(3 \times 3\) system of differential equations \(\partial u/ \partial t = \sum^ n_{i=1} A_ i \partial u/ \partial x_ i\), where \(u\) is a 3-vector and \(A_ i\) are complex constant \(3 \times 3\) matrix coefficients. Here the independent variables \(x_ i\) \((i=1,\dots,n)\) and \(t\) are real. In a previous paper [J. Math. Kyoto Univ. 31, No. 4, 937-982 (1991; reviewed above)], the present author classified the strongly hyperbolic \(3 \times 3\) systems with real constant coefficients. The purpose of this paper is to study the same problem for the \(3 \times 3\) systems with complex constant coefficients, limiting ourselves to nonstrictly hyperbolic systems.
Mathematics Subject Classification ID: 35L40
Mathematics Subject Classification ID: 35E20
Mathematics Subject Classification ID: 35F05
zbMATH DE Number: 597450
zbMATH Keywords: canonical forms
zbMATH Keywords: strongly and nonstrictly hyperbolic systems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195168663
OpenAlex ID: W2077914810
DOI: 10.2977/PRIMS/1195168663
description: scientific article; zbMATH DE number 597450