Winter semester 2023/24

3+1+0

Zielgruppe

OPAL

OPAL-Kurs

Stundenplan

V  Mo
V  Do

2. DS
4. DS

WIL C 129
WIL C 129

This is a second introduction into the theory of partial differential equations, in particular into the theory of Sobolev spaces and variational methods. We define the notion of weak derivatives and study Sobolev spaces on open subsets of \R^N, extension theorems for Sobolev functions, and embedding theorems for Sobolev spaces. The aim is a solution theory for elliptic equations with the help of the lemma of Lax-Milgram, the comparison principle and regularity of solutions. At the end of this lecture we prove the theorem of Malgrange-Ehrenpreis.

The lecture will be recorded on video.

3+1+0

Zielgruppe

Lehramtsstudiengänge Gymnasium und berufsbildende Schulen

OPAL

Stundenplan

S  Mo

4. DS

Z21/381/U

Modul MA WIA (zum Beispiel, andere Anrechnungen sind möglich)

Das seit 2009 stattfindende (Untergrund-)Seminar zu Themen der mathematischen Physik stellt eine Gelegenheit für Studierende der Physik und Mathematik ab dem 4. Semester dar, sich interdisziplinär mit ihren Fachgebieten auseinanderzusetzen. Promotionsstudenten sind ebenfalls herzlich eingeladen.

Hier stellen stellen sich die Teilnehmer gegenseitig ausgewählte mathematisch-physikalische Themen in Form von Referaten vor. Siehe auch die Seite des Untergrundseminars.

2+0+0

Zielgruppe

Stundenplan

In the winter semester 2023 /24 and in the summer semester 2024 takes place the international internet seminar on evolution equations. The title of this year's internet seminar is Harmonic analysis techniques for ellitpic operators.

The international internet seminars on evolution equations are organized in three phases.

Phase 1: The Lectures (October 2023 – February 2024). A weekly lecture will be provided on the discussion platform as lecture notes and a video recording. These lectures will be self-contained, and references for additional reading will be provided. The weekly lecture will be accompanied by exercises, and the participants are supposed to solve these problems.

Phase 2: The Projects (April – June 2024). The participants will form small international groups to work on diverse projects which supplement the theory of Phase 1 and provide some applications. The list of projects and further details concerning the application process will be published in February 2024.

Phase 3: The Workshop (17.06. – 21.06.2024). The final workshop takes place at the CIRM in Luminy (Marseille, France). There the project teams of Phase 2 will present their projects and additional lectures will be delivered by leading experts in the field. The official announcement of the workshop can be found here .

For participants from TU Dresden, participation at the project phase and the final workshop is not strictly necessary. Participation at phase 1 is equivalent to a lecture course of 2 SWS, participation at all three phases is equivalent to a lecture course of 4 SWS. Please register at the web site mentioned above.