V5B5 - Advanced Topics in Analysis and Calculus of Variations: Regularity for Elliptic Variational Problems
Instructor:
Dr. Franz Gmeineder
Timetable:
Exam (oral):
Course Synopsis:
Prerequisites:
- Analysis 1–3 and Functional Analysis. An introductory course on partial differential equations is helpful, but not mandatory. Students that took the course 'Nonlinear PDE 1' from winter term 2018/19 will discover some overlaps, but this course is essentially self-contained.
Specific course material:
- Lecture Notes (Updated Thu, May 9)
- L. Ambrosio, N. Fusco, D. Pallara: Functions of bounded variation and free discontinuity problems. Oxford University Press, 2000.
- L. Beck: Elliptic Regularity Theory - A first course. Lecture Notes of the Italian Mathematical Union, Springer, 2016.
- E. Giusti: Direct Methods in the Calculus of Variations. World Scientific, 2003.
- G. Mingione: Regularity of minima: an invitation to the dark side of the calculus of variations. Appl. Math. 51 (2006), no. 4, 355–426.
- A more extensive list of relevant background material is available here.
- Lecture notes will be available and shall be updated weekly.
Background Reading:
Aktuelles
Cole Prize für Jessica Fintzen
Dr. Regula Krapf erhält Lehrpreis der Universität
Prof. Daniel Huybrechts erhält Compositio Prize für die Periode 2017-2019
Prof. Catharina Stroppel erhält Gottfried Wilhelm Leibniz-Preis 2023
Stipendien für Mathematikstudierende aus der Ukraine
Prof. Jessica Fintzen erhält einen Whitehead Prize der London Mathematical Society
Prof. Peter Scholze zum Foreign Member der Royal Society ernannt