Un theoreme de cauchy-kowalewski pseudodifferentiel local

DOI10.1080/03605308508820381zbMath0575.35090OpenAlexW2020051351MaRDI QIDQ3695731

Guy Metivier

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/03605308508820381

zbMATH Keywords

Cauchy problemBanach spacestrict contractionfirst order analytic pseudodifferential operatorlocal Cauchy-Kowalewski theorem

Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10) Initial value problems for PDEs with pseudodifferential operators (35S10)

Cites Work

• Kernels and symbols of analytic pseudodifferential operators
• Sharp estimates for analytic pseudodifferential operators and application to Cauchy problems
• Pseudo-differential operators and Gevrey classes
• Nonlinear cauchy-kowalevski theorem for pseudo-differential operators

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