A canonical form of a system of microdifferential equations with non- involutory characteristics and branching of singularities

DOI10.3792/pjaa.57.205zbMath0492.35019OpenAlexW2016408031MaRDI QIDQ5905188

Toshinori Oaku

Publication date: 1981

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.57.205

zbMATH Keywords

canonical formweakly hyperbolicbranching of analytic singularitiesmicro differential equationsnon-involutory multiple characteristicsquantized contact transformation

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Analyticity in context of PDEs (35A20) Higher-order hyperbolic systems (35L55) Linear higher-order PDEs (35G05) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (2)

Branching of singularities for degenerate hyperbolic operators ⋮ Analytic hypo-ellipticity of a system of microdifferential equations with non-involutory characteristics

Cites Work

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• On holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\)
• Wave fronts of solutions of certain pseudodifferential equations
• Systems of differential equations with regular singularities and their boundary value problems
• Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations withmultiple characteristics, I

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