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:
News
Daniel Huybrechts elected as member of Leopoldina
Catharina Stroppel appointed Honorary Doctor at Uppsala University
Opening Hausdorff Chair with deadline March 15, 2025
Angkana Rüland receives Gottfried Wilhelm Leibniz Prize 2025
Wolfgang Lück receives the von Staudt Prize
Gerd Faltings elected member of the Order Pour le Mérite
Geordie Williamson receives the Max Planck-Humboldt Research Award 2024
ERC Starting Grant for Markus Hausmann
EMS Prize 2024 for Jessica Fintzen
Bonn mathematics performs excellently again in QS ranking
Stefan Schwede is invited speaker at the ECM 2024 in Sevilla
Jessica Fintzen wins Cole Prize
Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023