Singularities of solutions of the hyperbolic Cauchy problem in Gevrey classes

DOI10.3792/pjaa.59.182zbMath0527.35048OpenAlexW2019878149MaRDI QIDQ786328

Seiichiro Wakabayashi

Publication date: 1983

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.59.182

zbMATH Keywords

Cauchy problemsingularities of solutionsGevrey classeswave front setgeneralized Hamilton flowGevrey wave front set

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (4)

Pseudo differential operators with multiple characteristics and gevrey singularities ⋮ Singularities of solutions of the hyperbolic Cauchy problem in Gevrey classes ⋮ Analytic singularities of solutions of the hyperbolic Cauchy problem ⋮ Fourier integral operators in Gevrey class on \({\mathbb{R}}^ n\) and the fundamental solution for a hyperbolic operator

Cites Work

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• Singularities of solutions of the hyperbolic Cauchy problem in Gevrey classes
• Lacunas for hyperbolic differential operators with constant coefficients.I
• Singularities of solutions of the cauchy problems for operators with hearly constant coefficient hyperbolic principal part
• Le probleme de cauchy hyperbolique dans les classes d'ultrafonctions et d'ultradistributions
• Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients

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