Lecture: Elliptic partial differential equations (SoSe 2021)
- Tuesday 9:15-10:45 am,
- Thursday 9:15-10:45 am.
The lecture will be taking place in an online synchronous format.
This lecture is a continuation of the lectures functional analysis and partial differential equations 1. The lecture will discuss the regularity theory of elliptic PDEs. Some of the main topics will be
- the well-posedness of the problem, Hilbert space methods,
- Schauder theory,
- Calderon-Zygmund theory,
- Nash-Moser iteration.
As applications we will either discuss some geometric, elliptic PDEs such as harmonic maps or nonlocal PDEs.
Introduction to PDEs and functional analysis.