Analytic hypo-ellipticity and propagation of regularity for operators with non-involutory characteristics

DOI10.3792/pjaa.58.51zbMath0581.35008OpenAlexW1981563588MaRDI QIDQ1068274

Toshinori Oaku

Publication date: 1982

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.58.51

zbMATH Keywords

Poisson bracketmicrodifferential operatorspropagation of regularityanalytic hypo-ellipticitynon-involutory characteristicsprincipal symbolspropagation of micro-analyticity

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Hypoelliptic equations (35H10) Linear higher-order PDEs (35G05) Relations of PDEs on manifolds with hyperfunctions (58J15) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (1)

Analytic hypo-ellipticity and propagation of regularity for a system of microdifferential equations with non-involutory characteristics

Cites Work

• Analytic hypo-ellipticity of a system of microdifferential equations with non-involutory characteristics
• Conditions de positivité dans une variété symplectique complexe. Application à l'étude des microfonctions
• On the structure of single linear pseudo-differential equations
• A canonical form of a system of microdifferential equations with non- involutory characteristics and branching of singularities
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