The cauchy problem for weakly hyperbolic equations in gevrey classes

DOI10.1080/03605308908820590zbMath0669.35064OpenAlexW2017410674MaRDI QIDQ3822592

Shigeharu Itoh

Publication date: 1989

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308908820590

zbMATH Keywords

Cauchy problemGevrey classesreduciblewell-posedweakly hyperbolic

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for higher-order hyperbolic equations (35L30)

Cites Work

• Conditions for well-posedness in Gevrey classes of the Cauchy problems for Fuchsian hyperbolic operators
• On a sufficient condition for well-posedness in Gevrey classes of some weakly hyperbolic Cauchy problems
• Conditions for well-posedness in Gevrey classes of the Cauchy problems for Fuchsian hyperbolic operators. II
• The Cauchy problem for weakly hyperbolic equations. II: Infinite degenerate case
• 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
• Analyticity of solutions of hyperbolic systems with analytic coefficients
• The well-posedness of the cauchy problem for partial differential equations with multiple characteristics

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