Around the Nash-Moser theorem

Master course, University Paris Diderot, 2019

These are lecture notes corresponding to a master course taught in University Paris Diderot in 2019. Download here.

Table of contents :

  1. Iterative methods for solving nonlinear equations
  2. Conjugacy of circle diffeomorphisms
  3. The Nash-Moser theorem
  4. The isometric embedding of Riemannian Manifolds
  5. Littlewood-Paley decomposition
  6. The regularity theorem of De Giorgi for scalar elliptic equations