An Inverse Function Theorem in Frechet Spaces

Details An Inverse Function Theorem in Frechet Spaces An Inverse Function Theorem in Frechet Spaces

2010-11-04

arxiv.org/abs/1011.1288v1

Mathematics

Functional Analysis

to appear, Annales de l'Institut Henri Poincare, Analyse Non Lineaire

Scientific paper

I present an inverse function theorem for differentiable maps between Frechet spaces which contains the classical theorem of Nash and Moser as a particular case. In contrast to the latter, the proof does not rely on the Newton iteration procedure, but on Lebesgue's dominated convergence theorem and Ekeland's variational principle. As a consequence, the assumptions are substantially weakened: the map F to be inverted is not required to be C^2, or even C^1, or even Frechet-differentiable.

Affiliated with

Also associated with

No associations

Rating

An Inverse Function Theorem in Frechet Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An Inverse Function Theorem in Frechet Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Inverse Function Theorem in Frechet Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-453174