Nonlinear cauchy-kowalevski theorem for pseudo-differential operators

DOI10.1080/03605308308820313zbMath0534.35014OpenAlexW2005843024MaRDI QIDQ3317440

Kunihiko Kajitani

Publication date: 1983

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308308820313

zbMATH Keywords

existenceuniquenessGevrey classnonlinear Cauchy-Kowalewski theorem

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Cauchy-Kovalevskaya theorems (35A10) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (1)

Un theoreme de cauchy-kowalewski pseudodifferentiel local

Cites Work

• Kernels and symbols of analytic pseudodifferential operators
• Sharp estimates for analytic pseudodifferential operators and application to Cauchy problems
• \(L^p\) and Hölder estimates for pseudodifferential operators: sufficient conditions
• Équations et systèmes non-linéaires, hyperboliques non-stricts
• Pseudo-differential operators and Gevrey classes
• Non-linear leray-volevich systems and gevrey class

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