V3B1 - Functional Analysis and Partial Differential Equations
Instructor:
Prof. Dr. Herbert Koch
Assistant:
Dr. Franz Gmeineder
Timetable:
Exam:
- The final exam for the course takes place on Saturday, Feb 15, 2020, from 9-11 am. If you are taking the exam within the Bachelor program, please come to the 'Kleiner Hörsaal' (Wegelerstraße 10), if within the Master program, please come to the 'Großer Hörsaal' (Wegelerstraße 10). You will be allowed to enter the respective lecture theaters at 8:45 am; thus, please arrive at Wegelerstraße 10 early enough.
Course Synopsis:
Prerequisites:
- Analysis 1–3 and Linear Algebra 1,2. Introduction to PDEs (EPDG) is helpful but not mandatory.
Revision Class:
Tutorial Sessions:
- There will be weekly tutorial sessions (starting from term week 2). The slots shall be assigned during the first lecture (Oct, 09).
Time | Venue | Tutor |
---|---|---|
Mondays, 8-10 am | SemR 0.008 | Sascha Horstmann |
Mondays, 10-12 am | SemR 0.008 | Sebastian Schmidt |
Tuesdays, 4-6 pm | SemR 0.008 | Linus Behn |
Thursdays, 8-10 am | SemR 0.008 | Frederick Wehr |
Problem Sets:
- Problem Set 1 (Due: Oct 18, 2019)
- Problem Set 2 (Due: Oct 25, 2019)
- Problem Set 3 (Due: Nov 07, 2019)
- Problem Set 4 (Due: Nov 15, 2019)
- Problem Set 5 (Due: Nov 22, 2019)
- Problem Set 6 (Due: Nov 29, 2019)
- Problem Set 7 (Due: Dec 06, 2019); in Ex. 2 replace f_j by f.
- Problem Set 8 (Due: Dec 13, 2019)
- Problem Set 9 (Due: Dec 20, 2019)
- Problem Set 10 (Due: Jan 10, 2020)
- Problem Set 11 (Due: Jan 17, 2020)
- Problem Set 12 (Due: Jan 24, 2020)
- Very easy additional exercises (not quite...)
- Lecture notes (as of Feb, 02)
- E. Stein & R. Shakarchi: Functional Analysis. Princeton University Press, 2012.
- G. Allan: Introduction to Banach Spaces and Algebras. Oxford University Press, 2010. <\li>
- P. Lax: Functional Analysis. Wiley Interscience, 2002.
- K. Yosida: Functional Analysis. Springer Classics in Mathematics, 1996.
- E. Lieb, M. Loss: Analysis. AMS Graduate Studies in Mathematics, 2001.
- D. Werner: Funktionalanalysis. Springer, 2012.
- H.-W. Alt: Lineare Funktionalanalysis. Springer, 2008.
- W. Kaballo: Funktionalanalysis. Spektrum, 2011.
- M. Dobrowolski: Funktionalanalysis. Springer Masterclass, 2009.
- G. Mingione: Regularity of minima: an invitation to the dark side of the calculus of variations. Appl. Math. 51 (2006), no. 4, 355–426.
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