Singularities of solutions of the cauchy problems for operators with hearly constant coefficient hyperbolic principal part

DOI10.1080/03605308308820272zbMath0532.35047OpenAlexW2023603293MaRDI QIDQ3314244

Seiichiro Wakabayashi

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/03605308308820272

zbMATH Keywords

singularitiesCauchy probleminvolutive characteristicshomogeneous canonical transformationsnearly constant coefficient hyperbolic principal part

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for higher-order hyperbolic equations (35L30) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (6)

On the propagation of singularities for pseudo-differential operators with characteristics of variable multiplicity ⋮ The propagation of singularities for pseudo-differential operators with self-tangential characteristics ⋮ Remarks on the Cauchy problem for first order hyperbolic systems with constant coefficient principal part ⋮ Singularities of solutions of the hyperbolic Cauchy problem in Gevrey classes ⋮ Analytic singularities of solutions of the hyperbolic Cauchy problem ⋮ Singularities of solutions of the caught problem for symmetric hyperbolic systems

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