The Cauchy problem for nonlinear hyperbolic equations with Levi condition
type: Item
instance of: scholarly article
title: The Cauchy problem for nonlinear hyperbolic equations with Levi condition
zbMATH Open document ID: 0940.35142
DOI: 10.1016/S0007-4497(99)00114-1
author: Massimo Cicognani
author: Luisa Zanghirati
published in: Bulletin des Sciences Mathématiques
publication date: 2000-07-10T00:00:00Z
review text: A quasilinear Cauchy problem of order \(m\) is considered for a weakly hyperbolic equation. It is assumed that the characteristic roots have constant multiplicity, higher than or equal to two. Since it is well known that such a type of equation requires conditions on the lower order terms, it is also assumed that for a generic value of the unknown function the Levi conditions are satisfied. A well posedness result is then proved.
reviewed by: Antonio Bove
Mathematics Subject Classification ID: 35L75
Mathematics Subject Classification ID: 35L30
zbMATH DE Number: 1385246
zbMATH Keywords: conditions on lower order terms
zbMATH Keywords: well posedness result
MaRDI profile type: Publication
full work available at URL: s0007-4497(99)00114-1
OpenAlex ID: W2004211676
description: scientific article; zbMATH DE number 1385246