Notes on the Cauchy-Kowalevski theorem for \({\mathcal E}\)-modules

DOI10.1006/jfan.2000.3707zbMath0990.35006OpenAlexW2087585414MaRDI QIDQ5937639

Kiyoshi Takeuchi, Yuichi Sugiki

Publication date: 21 August 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3707

zbMATH Keywords

microlocal inverse imagemicrolocal isomorphism

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Cauchy-Kovalevskaya theorems (35A10) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

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Cites Work

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• Propagation des singularités analytiques pour les solutions des équations aux derivées partielles
• Micro-hyperbolic systems
• The Cauchy-Kowalevski theorem for \(\mathcal E\)-modules
• On the boundary value problem for elliptic system of linear differential equations, I