On third order hyperbolic equations
type: Item
instance of: scholarly article
title: On third order hyperbolic equations
zbMATH Open document ID: 0934.35085
DOI: 10.1007/BF02791264
author: Tamotu Kinoshita
published in: Journal d'Analyse Mathématique
publication date: 1999-08-22T00:00:00Z
review text: In this note the author considers the Cauchy problem in Gevrey classes for a third order hyperbolic equation the coefficients of which depend only on the time variable and are degenerate at the initial plane. He investigates the relation among the order of degeneration of coefficients and the index of Gevrey class in which the Cauchy problem is well posed.
reviewed by: Kunihiko Kajitani
Mathematics Subject Classification ID: 35L30
Mathematics Subject Classification ID: 35L75
Mathematics Subject Classification ID: 35L80
zbMATH DE Number: 1309907
zbMATH Keywords: Gevrey well posedness
zbMATH Keywords: Cauchy problem in Gevrey classes
zbMATH Keywords: degeneration of coefficients
MaRDI profile type: Publication
cites work: Q5286622
cites work: Well-posedness in \(C^\infty\) for some weakly hyperbolic equations
cites work: Q3331627
cites work: Q4538015
cites work: Cauchy problem conditions for hyperbolic operators with characteristics of variable multiplicity for Gevrey classes
cites work: Regularly hyperbolic systems and Gevrey classes
cites work: Gevrey well-posedness of the Cauchy problem for the hyperbolic equations of third order with coefficients depending only on time
cites work: Q3992275
cites work: Q5521080
cites work: Levi Conditions and Global Gevrey Regularity for the Solutions of Quasilinear Weakly Hyperbolic Equations
cites work: Q4882739
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description: scientific article; zbMATH DE number 1309907