Systems of microdifferential equations with involutory double characteristics. Propagation theorem for sheaves in the framework of microlocal study of sheaves

DOI10.3792/pjaa.63.262zbMath0665.35004OpenAlexW2077327700MaRDI QIDQ1116010

Nobuyuki Tose

Publication date: 1987

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.63.262

zbMATH Keywords

second microlocalizationcomplexificationcharacteristic varietysheavesreal analytic manifoldpropagation of singularitieshomogeneous holomorphicinvolutory double characteristicsKashiwara-Shapiraregular involutory submanifold

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

Propagation of singularities for microdifferential equations with multiple selftangential involutory characteristics

Cites Work

• 2nd microlocalisation and conical refraction
• The 2-microlocal canonical form for a class of microdifferential equations and propagation of singularities
• On a class of 2-microhyperbolic systems
• Théorie de la deuxième microlocalisation dans le domaine complexe
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