On the global existence of real analytic solutions and hyperfunction solutions of linear differential equations

DOI10.3792/pjaa.62.77zbMath0618.35002OpenAlexW1986537527MaRDI QIDQ1822264

Takahiro Kawai

Publication date: 1986

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.62.77

zbMATH Keywords

linear differential equationshyperfunctionmicrolocal analysisreal analyticGlobal existence

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Hyperfunctions (32A45)

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On a closed range property of a linear differential operator

Cites Work

• Unnamed Item
• On the global existence of holomorphic solutions and the semi-global existence of real analytic solutions of linear partial differential equations
• Construction of local elementary solutions for linear partial differential operators with real analytic coefficients. I: The case with real principal symbols