On the Cauchy-Kowalewski theorem for characteristic initial surfaces

DOI10.3792/pjaa.63.7zbMath0627.35002OpenAlexW2005384470MaRDI QIDQ1092311

Katsuju Igari

Publication date: 1987

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.63.7

zbMATH Keywords

existenceuniquenessholomorphic functionscharacteristicsCauchy Problemnon-characteristicvariable multiplicityFuchs type operator

Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10) Linear higher-order PDEs (35G05)

Related Items (1)

Uniqueness in the characteristic Cauchy problem under a convexity condition

Cites Work

• Solutions nulles et solutions non analytiques
• On the initial-value problems with data on a double characteristic
• Les equations aux derivees partielles ayant des surfaces caracteristiques dutype de fuchs
• On the theorem of Cauchy-Kowalevsky for first order linear differential equations with degenerate principal symbols
• Cauchy problems with characteristic initial hypersurface

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