241516 Nonlocal Operators I (V) (WiSe 2014/2015)

The aim of the lecture is to give an introduction into the field of nonlocal operators, e.g., the fractional Laplace Operator. Several topics (solvability, Dirichlet problem, Neumann problem, Hölder regularity, Schauder estimates) will be presented in separate blocks. Thus it is no problem to attend only a few of the lectures.

The lecture is aimed at master students, PhD students and postdoctoral fellows. Prerequisites can be explained/repeated separately if needed.

The lecture will be held in English if there is more than zero participants who prefer English.

Teilnahmevoraussetzungen, notwendige Vorkenntnisse

Analysis I und II,
Lineare Algebra I,
Maß- und Integrationstheorie (sehr wichtig),
Funktionalanalysis
Partielle Differentialgleichungen (nicht zwingend, wäre hilfreich)