The inverse function theorem of Nash and Moser

1982/01/01 by Richard S. Hamilton · 34 citations
Computer Science · Mathematics · Physics and Astronomy · #Biology #Fixed-point theorem #Function (biology) #Geometry #Inverse #Inverse function theorem #Iterative Methods for Nonlinear Equations #Mathematical economics #Mathematics #Matrix Theory and Algorithms #Picard–Lindelöf theorem #Pure mathematics #Quantum chaos and dynamical systems

paper · doi:10.1090/s0273-0979-1982-15004-2

crossref issued 1982/01/01 · crossref published 1982/01/01 · crossref published-print 1982/01/01 · openalex publication_date 1982/01/01 · crossref created 2008/02/28 · openalex created_date 2025/10/10 · crossref deposited 2026/04/21 · openalex updated_date 2026/07/18 · crossref indexed 2026/07/18

Cited by

• Hyperbolic manifolds with convex boundary
• The caloron correspondence and higher string classes for loop groups
• The Ricci Flow: An Introduction
• On the convergence of Gromov-Witten potentials and Givental's formula
• The general caloron correspondence
• Lie group structures on groups of smooth and holomorphic maps on non-compact manifolds
• The heat equation shrinking convex plane curves
• Local Structure of The Set of Steady-State Solutions to The 2d Incompressible Euler Equations
• UTILITY BASED PRICING AND HEDGING OF JUMP DIFFUSION PROCESSES WITH A VIEW TO APPLICATIONS
• A regularity result for fixed points, with applications to linear response
• Renormalization of determinant lines in Quantum Field Theory
• Non-uniqueness of geodesic limits and a question of Grayson and Gage
• Batalin-Vilkovisky Formalism in the Functional Approach to Classical Field Theory
• Linear Z₂ⁿ-Manifolds and Linear Actions
• Generalized Hunter–Saxton Equations, Optimal Information Transport, and Factorization of Diffeomorphisms
• Three-manifolds with positive Ricci curvature
• On ℤ -Gradations of Twisted Loop Lie Algebras of Complex Simple Lie Algebras
• Group-valued momentum maps for actions of automorphism groups
• On boundary value problems for Einstein metrics
• Properties of Sobolev-type metrics in the space of curves
• Limites projectives fortes d'algébroïdes de Lie
• The Reduced Phase Space of Palatini–Cartan–Holst Theory
• The Degasperis–Procesi equation as a non-metric Euler equation
• Categorical Structures on Bundle Gerbes and Higher Geometric Prequantisation
• Overview of the Geometries of Shape Spaces and Diffeomorphism Groups
• Manifold-valued function approximation from multiple tangent spaces
• Implicit functions from topological vector spaces to Fréchet spaces in the presence of metric estimates
• Geodesic flow on the diffeomorphism group of the circle
• Low-Regularity Solutions of the Periodic Camassa–Holm Equation
• The Hunter–Saxton equation describes the geodesic flow on a sphere
• Gateaux derivative [wikipedia]
• John Forbes Nash Jr. [wikipedia]
• Nash–Moser theorem [wikipedia]
• Richard S. Hamilton [wikipedia]