Conditions for well-posedness in Gevrey classes of the Cauchy problems for Fuchsian hyperbolic operators

DOI10.2977/prims/1195179627zbMath0585.35060OpenAlexW4253861198MaRDI QIDQ1071176

Hitoshi Uryu

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/1195179627

zbMATH Keywords

Cauchy problemGevrey classes\(C^{\infty }\) well- posednessFuchsian hyperbolic equationsFuchsian operator

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for higher-order hyperbolic equations (35L30) Higher-order hyperbolic equations (35L25)

Related Items

On a sufficient condition for well-posedness in Gevrey classes of some weakly hyperbolic Cauchy problems ⋮ The cauchy problem for weakly hyperbolic equations in gevrey classes ⋮ Existence and non-existence of null-solutions for some non-Fuchsian partial differential operators with T-dependent coefficients ⋮ Parametrix of certain weakly hyperbolic operators ⋮ Well-posedness of the Cauchy problem for some weakly hyperbolic operators in Gevrey classes ⋮ Cauchy problems for Fuchsian hyperbolic equations in spaces of functions of Gevrey classes

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