The Cauchy problem for effectively hyperbolic equations (a standard type)
type: Item
instance of: scholarly article
title: The Cauchy problem for effectively hyperbolic equations (a standard type)
zbMATH Open document ID: 0565.35065
author: Nobuhisa Iwasaki
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1984-01-01T00:00:00Z
review text: In a previous paper [J. Math. Kyoto Univ. 23, 503-562 (1983; Zbl 0546.35037)] the author discussed the Cauchy problem of a special type of hyperbolic equations of second order. This discussion was the first step to the proposition that effectively hyperbolic operators are strongly hyperbolic. The present paper contains the second step. The author shows that the special type of the first paper may be regarded as a standard type of effectively hyperbolic equations of second order. The proof is based on the discusion of a quasilinear equation.
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 3901294
zbMATH Keywords: Cauchy problem
zbMATH Keywords: effectively hyperbolic operators
zbMATH Keywords: quasilinear equation
reviewed by: Wolfgang Watzlawek
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195181410
OpenAlex ID: W2061691923
cites work: The boundary problems of physical geodesy
cites work: The Cauchy problem for differential equations with double characteristics
cites work: NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
cites work: The Cauchy problem for effectively hyperbolic equations (a special case)
DOI: 10.2977/PRIMS/1195181410
description: scientific article; zbMATH DE number 3901294