Parametrices and propagation of singularities near gliding points for mixed problems for symmetric hyperbolic systems. I

DOI10.3792/pjaa.60.291zbMath0572.35066OpenAlexW2067601491MaRDI QIDQ1062209

Kôji Kubota

Publication date: 1984

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.60.291

zbMATH Keywords

Airy functionmixed problemspropagation of singularitiesLopatinski determinantgliding pointsmicrolocal parametrixsymmetric first order systems

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Initial-boundary value problems for first-order hyperbolic systems (35L50) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• Microlocal parametrices for mixed problems for symmetric hyperbolic systems with diffractive boundary
• The propagation of singularities along gliding rays
• Parametrix and propagation of singularities for the interior mixed hyperbolic problem
• Singularities of boundary value problems. I
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