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Vorlesung: Partielle Differentialgleichungen II (PDG2) (SoSe 2020)




To be UPDATED !!

Lecture (Vorlesung):
Tue 14--16 (in B 132) & Wed 10--12 (in B 134).   First time (Erstes Mal): 21 April 2020.

Exercises (Übungen):
See separate webpage (uni2work).   LSF

Tutorials (Tutorien):
There are NO tutorials!

Synopsis (Kurzbeschreibung):
This lecture is a continuation of the introductory lecture 'Partielle Differentialgleichungen' (PDG1) in the past semester (WiSe2019/20).
It can also be taken as a continuation of any other introductory lecture 'Partielle Differentialgleichungen' (PDG1).
We will study existence and regularity of weak solutions to elliptic equations. This will also involve the study of weak derivatives and Sobolev spaces (on domains).

Audience (Hörerkreis):
Master students of Mathematics (WP 40), Master students of `Finanz- und Versicherungsmathematik' (WP 27), TMP-Master.

Credits:
9 (6+3) ECTS.

Prerequisites (Vorkenntnisse):
Analysis I–III, Linear Algebra I–II, Functional Analysis, PDE1 (in some form; approximately p. 1–90 in [E] Evans (see below)).

Language (Sprache):
English. (Die mündliche Prüfung kan auch auf Deutsch gemacht werden).

Exam (Prüfung):
There will be an oral exam (dates to be announced) (Es wird eine mündliche Prüfung geben).
See separate webpage (Available in due time!!).

Content (Inhalt):
  1. Introduction and motivation

Literature:
In uni2work you will find a copy of the notes from the lecture (to be updated as we go along).
Above you will find a short description of the content of the lecture (to be updated as we go along).
The lecture will mainly follow the books by Evans, and Arendt & Urban mentioned below. Supplementary literature (Ergänzende Literatur):
Here is a list. For Sobolev spaces, see here.

Office hours (Sprechstunde):
Thursday 10.15-11.00 (Room B 408) or by appointment via email.


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Letzte Änderung: 02 March 2020

Thomas Østergaard Sørensen