On a sufficient condition for well-posedness in Gevrey classes of some weakly hyperbolic Cauchy problems

DOI10.2977/PRIMS/1195178791zbMath0604.35050OpenAlexW2064476904MaRDI QIDQ1083615

Shigeharu Itoh

Publication date: 1985

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195178791

zbMATH Keywords

energy estimateswell-posednessCauchy problemsGevrey classesweakly hyperbolic equations

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (1)

The cauchy problem for weakly hyperbolic equations in gevrey classes

Cites Work

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• Conditions for well-posedness in Gevrey classes of the Cauchy problems for Fuchsian hyperbolic operators
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• Cauchy problem conditions for hyperbolic operators with characteristics of variable multiplicity for Gevrey classes
• Existence and uniqueness of solutions of hyperbolic equations which are not necessarily strictly hyperbolic
• Le problème de Cauchy pour les équations hyperboliques à caractéristique multiple
• Équations et systèmes non-linéaires, hyperboliques non-stricts
• Le probleme de cauchy hyperbolique dans les classes d'ultrafonctions et d'ultradistributions
• CORRECTNESS OF THE CAUCHY PROBLEM IN GEVREY CLASSES FOR NONSTRICTLY HYPERBOLIC OPERATORS
• Energy inequality for non strictly hyperbolic operators in the Gevrey class

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