Institute for applied mathematics

Functional Analysis WS 2015/2016



Students who wish to see their results from the first exam can do so next monday, Februrary 29th, from 2:00-3:00 in room 2.040.



The course covers basic functional analytic methods and their application to partial differential equations such as

  • Banach spaces, Hahn-Banach Theorem, Banach-Steinhaus theorem, weak convergence
  • Lebesgue- and Sobolev-spaces
  • Hilbert spaces, Lax-Milgram theorem, spectral theory
  • elliptic PDEs


  • Wednesday, 10-12, We10/kleiner Hörsaal
  • Friday, 8-10, We10/kleiner Hörsaal


In order to be admitted to the exam you have to achieve at least 50% of the cumulative points in the exercises.

There are  four exercise groups. 

  • Monday, 12-14, N0.007 Constantin Eichenberg
  • Wednesday, 16-18, N0.008 Immanuel Zachhuber
  • Friday, 12-14, 1.007 Tobias Schmidt
  • Friday, 12-14, Großer Hörsaal (Wegelerstraße) Qi Cheng Hua

Exercise sheets are available every Friday in the lecture and online. They are to be handed in one week later also during the Friday lecture.  Homework may be handed in by groups of at most two students.




  • You have the possibility to have a look at your graded exams on Monday, April the 4th, in room 2.040 at 14.00h.


There are many books on functional analysis, for instance

  • H.W. Alt, Lineare Funktionalanalysis, Springer
  • H. Brezis, Functional Analysis and Partial Differential Equations, Springer
  • M. Reed, B. Simon, Methods of modern mathematical physics. Volume 1: Functional Analysis, Academic Press



Die ehemalige Doktorandin am IAM, Lisa Hartung (aktuell: Courant Institute of Mathematical Sciences, New York), wurde für ihre herausragende Doktorarbeit "Extremal Processes in Branching Brownian Motion and Friends" (Betreuer: Prof. Bovier) mit dem Förderpreis der DMV-Fachgruppe Stochastik ausgezeichnet. Details hier. (14.03.2018)

Prof.  Patrik Ferrari erhält den ersten Alexandros Award zusammen mit Ivan Corwin (Columbia University) und Alexei Borodin (MIT) für den Artikel "Free energy fluctuations for directed polymers in random media in 1+1 dimensions".
Details siehe hier. (12.03.2018)

Frau Dr. Martina Vera Baar erhält den Hausdorff-Gedächtnispreis für die beste Dissertation des akademischen Jahres 2016/17 (Betreuer: Prof. Dr. A. Bovier, IAM). (Pressemitteilung, 24.01.2018)


Managing Director: Prof. Dr. Anton Bovier
Chief Administrator: Dr. B. Doerffel

Mailing address

Institute for Applied Mathematics
University of Bonn
Endenicher Allee 60
D-53115 Bonn / Germany