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
Corona: Maßnahmen im Mathematik-Zentrum
Hausdorff-Gedächtnispreis 2019/2020 verliehen
Bachelorpreis 2019/20 der BMG verliehen
Dr. Michael Welter erhält den Lehrpreis der Math.-Nat. Fakultät im Jahr 2020
Mathemacher des Monats Dezember 2020: Dr. Antje Kiesel und Dr. Thoralf Räsch
Bonner Mathematik belegt bei Shanghai Ranking den 1. Platz in Deutschland und weltweit den 13. Platz
Prof. Georg Oberdieck erhält Heinz Maier-Leibnitz-Preise 2020
Prof. Daniel Huybrechts erhält gemeinsam mit Debarre, Macri und Voisin ERC Synergy Grant
Prof. Peter Scholze erhält Verdienstorden der Bundesrepublik Deutschland
Prof. Dr. Valentin Blomer wurde zum Mitglied der Academia Europaea gewählt
Prof. Peter Scholze erhält Fields-Medaille 2018