A note on the Nash-Moser implicit function theorem

DOI10.3792/pjaa.64.139zbMath0673.46019OpenAlexW1991191724MaRDI QIDQ1120788

Kiyoshi Asano

Publication date: 1988

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.64.139

zbMATH Keywords

Newton's methodNash-Moser implicit function theorem in Banach scales, based onNash-Moser implicit function theorem in Banach scales, based on Newton's methodright-invertible Fréchet derivative

Mathematics Subject Classification ID

Derivatives of functions in infinite-dimensional spaces (46G05) Implicit function theorems; global Newton methods on manifolds (58C15)

Cites Work

• The imbedding problem for Riemannian manifolds
• A NEW TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS
• Un théorème de fonctions implicites sur certains espaces de Fréchet et quelques applications
• Unnamed Item

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