## 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

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

Hirzebruch lecture by Rahul Pandharipande on Monday, May 15, 2023

Lucas Mann recevices the Hausdorff memorial award 2021/22

Bachelor Prize 2021/22 of the BMG awarded

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

Prof. Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023

Rajula Srivastava receives Association for Women in Mathematics Dissertation Prize

Prof. Ana Caraiani wins a New Horizons in Mathematics Prizes 2023

Pius XI Medal awarded to Professor Peter Scholze

Prof. Valentin Blomer und Prof. Georg Oberdieck erhalten ERC grants

Grants for Mathematics students from Ukraine

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

Prof. Peter Scholze elected as Foreign Member of the Royal Society

Bonner Mathematik belegt bei Shanghai Ranking den 1. Platz in Deutschland und weltweit den 13. Platz

Prof. Daniel Huybrechts erhält gemeinsam mit Debarre, Macri und Voisin ERC Synergy Grant