Characteristic Cauchy problems and analytic continuation of holomorphic solutions

DOI10.1007/BF02387382zbMath0723.35019MaRDI QIDQ757725

Katsuju Igari

Publication date: 1990

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemanalytic continuation

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Cauchy-Kovalevskaya theorems (35A10) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (2)

On the branching of singularities in complex domains ⋮ Propagation of singularities in the ramified Cauchy problem for a class of operators with non-involutive multiple characteristics

Cites Work

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• Hamada's theorem for a certain type of the operators with double characteristics
• Localization of differential operators and holomorphic continuation of the solutions
• On the analytic continuation of holomorphic solutions of partial differential equations
• Existence et prolongement des solutions holomorphes des équations aux dérivées partielles
• Local analytic continuation of holomorphic solutions of partial differential equations
• Problème de Cauchy ramifié pour une classe d'opérateurs a caractéristiques tangentes. I. (Ramified Cauchy problems for a class of operators with tangential characteristics. I)
• On the prolongation of local holomorphic solutions of partial differential equations
• Les equations aux derivees partielles ayant des surfaces caracteristiques dutype de fuchs

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