Well-posedness of the Cauchy problem for some weakly hyperbolic operators in Gevrey classes

DOI10.3792/PJAA.61.66zbMath0584.35065OpenAlexW2081637169MaRDI QIDQ1070443

Shigeharu Itoh

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.66

zbMATH Keywords

Cauchy problemwell-posedweakly hyperbolic operator

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for higher-order hyperbolic equations (35L30)

Cites Work

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• Conditions for well-posedness in Gevrey classes of the Cauchy problems for Fuchsian hyperbolic operators
• The Cauchy problem for weakly hyperbolic equations. II: Infinite degenerate case
• An admissible data class of the Cauchy problem for non-strictly hyperbolic operators
• Cauchy problem conditions for hyperbolic operators with characteristics of variable multiplicity for Gevrey classes
• Le problème de Cauchy pour les équations hyperboliques à caractéristique multiple

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