Inverse mapping theorem in the ultradifferentiable class

DOI10.3792/pjaa.72.171zbMath0891.46023OpenAlexW2041305317MaRDI QIDQ676763

Minoru Koike

Publication date: 20 July 1998

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.72.171

zbMATH Keywords

inverse mapping theorem of Komatsu

Mathematics Subject Classification ID

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

Related Items (4)

Volevič systems of singular nonlinear partial differential equations ⋮ The exponential law for spaces of test functions and diffeomorphism groups ⋮ On the Siegel-Sternberg linearization theorem ⋮ Equivalence of stability properties for ultradifferentiable function classes

Cites Work

• The implicit function theorem for ultradifferentiable mappings
• Inverse map theorem in the ultra-\(F\)-differentiable class
• Unnamed Item

This page was built for publication: Inverse mapping theorem in the ultradifferentiable class