## 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

Bonn mathematics performs excellently again in QS ranking

Stefan Schwede is invited speaker at the ECM 2024 in Sevilla

Jessica Fintzen wins Cole Prize

Regula Krapf receives university teaching award

Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts

Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019

Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023

Grants for Mathematics students from Ukraine

Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society

Peter Scholze elected as Foreign Member of the Royal Society