Yet another inverse function theorem

2001/06/19 by Jaume Gudayol, Gudayol, Jaume
Mathematics · #58C15 #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #math.DS #math.FA #msc:58C15

paper · pdf · doi:10.48550/arxiv.math/0106154

11 pages

arxiv created 2001/06/19 · arxiv updated 2009/11/30

Abstract

We prove a Nash-Moser type inverse function theorem in Frechet spaces for functions with approximate inverses, allowing for a loss of derivatives proportional to n in the way of Lojasiewicz and Zehnder.

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