The 2-microlocal canonical form for a class of microdifferential equations and propagation of singularities

DOI10.2977/prims/1195176847zbMath0779.58036OpenAlexW2069839101MaRDI QIDQ1812715

Nobuyuki Tose

Publication date: 25 June 1992

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/1195176847

zbMATH Keywords

propagation of singularitiesmicrodifferential equations2-microlocal canonical form

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Relations of PDEs on manifolds with hyperfunctions (58J15) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (7)

2nd microlocalisation and conical refraction ⋮ On distribution solutions of microdifferential equations with double involutive characteristics ⋮ On a class of nonhyperbolic microdifferential equations with involutory double characteristics ⋮ Systems of microdifferential equations with involutory double characteristics. Propagation theorem for sheaves in the framework of microlocal study of sheaves ⋮ Propagation of singularities for microdifferential equations with multiple selftangential involutory characteristics ⋮ Distributions Associated to a 2-Microlocal Pair of Lagrangian Mainfolds ⋮ 2nd microlocalization and conical refraction

Cites Work

• Micro-hyperbolic pseudo-differential operators. I
• Systems of differential equations with regular singularities and their boundary value problems
• Elementary solutions and propagation of singularities for hyperbolic operators with involutive characteristics
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