These are lecture notes corresponding to a master course taught in University Paris Diderot in 2019. Download here.
Table of contents :
- Iterative methods for solving nonlinear equations
- Conjugacy of circle diffeomorphisms
- The Nash-Moser theorem
- The isometric embedding of Riemannian Manifolds
- Littlewood-Paley decomposition
- The regularity theorem of De Giorgi for scalar elliptic equations