Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations withmultiple characteristics, I

DOI10.3792/pja/1195518897zbMath0307.35081OpenAlexW4235556522MaRDI QIDQ4064438

Masaki Kashiwara, Takahiro Kawai, Toshio Oshima

Publication date: 1974

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518897

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05)

Related Items (7)

On the Stokes geometry of perturbed tangential Pearcey systems ⋮ Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations with multiple characteristics, II ⋮ A canonical form of a system of microdifferential equations with non- involutory characteristics and branching of singularities ⋮ A canonical form of a system of microdifferential equations with non- involutory characteristics and branching of singularities ⋮ On holonomic systems of microdifferential equations. III: Systems with regular singularities ⋮ Analytic hypo-ellipticity and propagation of regularity for a system of microdifferential equations with non-involutory characteristics ⋮ Analytic hypo-ellipticity of a system of microdifferential equations with non-involutory characteristics

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• Parametrices and estimates for the $\bar \partial _b$ complex on strongly pseudoconvex boundaries
• On a class of systems of pseudodifferential equations with double characteristics
• ON A CLASS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS DEGENERATE ON A SUBMANIFOLD
• A fundamental solution for a subelliptic operator
• Concatenations of second‐order evolution equations applied to local solvability and hypoellipticity

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