Functional Analysis
Teaching
Summer Term 2025
Lecture : Non-linear PDEs 2 (V4B2)
Prof. Dr. J.J.L. Velázquez
on Mondays and Thursdays, 10.00 - 12.00 in SR 1.008
Exercices :
on Tuesdays, 12.00 - 14.00 in SR N0.007 Neubau
and
on Wedn. 12.00 - 14.00 in SR N0.007 Neubau
Lectures: V5B4 - Selected Topics in PDE and Mathematical Models
Spectral theory and random differential operators
Illia Karabash, on Tuesdays, 10:00-12:00, in Room 0.008 (Endenicher Allee 60).
Syllabus
Hauptsemiar Partielle Differentialgleichungen (S2B2): Das Maximumprinzip und seine Anwendungen
Organizers : Elena Demattè, J.J.L. Velázquez
Vorbesprechung:
Montag 27. Januar um 14:15 Uhr im Raum 2.025
Termin: Montags, 14.00 - 16.00 in SR N 0.008
Graduate Seminar on Analysis (S4B1) : Lyapunov methods for time delay systems
Organizers : Irina Aleksandrova, J.J.L. Velázquez
Preliminary meeting:
Tuesday, January 28 at 14.15 h in room 2.040
on Tuesdays, 14.00 - 16.00 in SR 2.040
Graduate Seminar on Analysis (S4B1) : The mathematics of the Immune system
Organizers : E. Franco , J.J.L. Velázquez
Preliminary meeting:
Friday, January 31 at 10.15 h in room 0.007
on Wednesdays, 12:00-14:00 in SR 2.025
Graduate Seminar on PDE in the Sciences
Organizers: B. Niethammer, J.J.L. Velázquez, D. Sánchez-Simón del Pino
The seminar takes place on Fridays, at 14:15 in SR 2.040.
More information can be found in https://www.iam.uni-bonn.de/afa/teaching/group-seminar-talks/summer-semester-2025
Winter Term 2024 2025
Lecture : Non-linear PDEs 1 (V4B1)
Prof. Dr. J.J.L. Velázquez
on Mondays and Thursdays, 10.00 - 12.00 in SR 1.008
Exercices : organized by Bernhard Kepka
on Tuesdays, 12.00 - 14.00 and 16.00 - 18.00 in SR N0.007
Evaluation of lecture on Monday, Nov. 25
online with the following link :
https://www.umfragen.uni-bonn.de/mrIWeb/mrIWeb.srf?I.Project=lveval_v4_1&
Graduate Seminar on Analysis (S4B1)
Mathematical theory of biochemical networks
on Wednesdays, 12:00 to 14:00 in Room 2.040 (Endenicher Allee 60). Syllabus.
Organizers : E. Franco, I. Karabash, J.J.L. Velázquez
Preliminary meeting:
Friday, 12th July 2024 at 14.15 room N0.008
If you cannot come to the preliminary meeting, but are interested in the seminar,
please, contact the organizers via <franco@iam.uni-bonn.de> .
Graduate Seminar on PDE in the Sciences
Organizers: B. Niethammer, J.J.L. Velázquez, I. Cristian
The seminar takes place on Fridays, at 14:15 in SR 2.040.
for more details see under : https://www.iam.uni-bonn.de/afa/teaching/group-seminar-talks/winter-semester-2024/2025
Summer Term 2024
Graduate Seminar on PDE in the Sciences
Organizers: B. Niethammer, J.J.L. Velázquez, I. Cristian
The seminar takes place on Fridays, at 14:15 in SR 2.040.
for more details see under : https://www.iam.uni-bonn.de/afa/teaching/group-seminar-talks/summer-semester-2024
Graduate Seminar on PDEs (S4B2)
Dissipative boundary value problems for wave equations.
Organizer: Illia Karabash
Synopsis.
The 1st talk is on 24.04.2024.
Wednesdays 12:00 - 14:00. Room: 0.006 (Endenicher Allee 60).
E-mail for questions: <ikarabas@uni-bonn.de>
Winter Term 2023 2024
Teaching evaluation day : Friday, Dec. 1
Please don t forget your mobile phone, it is needed to do the evaluation !
https://www.umfragen.uni-bonn.de/lehre/Mathe/
Lecture: Advanced Topics in PDE and Math. Mod. (V5B3)
Prof. Dr. J.J. L. Velázquez
Mondays, 12:00 - 14:00 in room N0.003 (Neubau)
Fridays, 12.00 - 14:00 in room N0.003 (Neubau)
First exam on Monday, February 5, 2024
Second exam on Monday, March 25, 2024
Exams take place at IAM Endenicher Allee 60 in room 2.023 (office Prof. Velázquez)
Lecture: Selected Topics in Analysis and PDE (V5B2)
Dr. Théophile Dolmaire
Thursdays, 10:00 - 12:00 in room N0.008 (Neubau)
Introduction to the Boltzmann equation
Lecture: Selected Topics in Analysis and Calc. of Var. (V5B6)
Dr. Illia Karabash
Thursdays, 12:00 - 14:00 in SR 0.011
"Homogenization-convergence and optimization of eigenvalues"
Graduate Seminar on PDEs (S4B1)
Prof. Dr. J.J. L. Velázquez and Iulia Cristian
Wave turbulence and kinetic theory
seminar on Mondays 14:00 16:00 SR 2.040
Graduate Seminar on PDE in the Sciences (S5B2)
Prof. Dr. Barbara Niethammer, Prof. Dr. Juan Velázquez, Iulia Cristian
Fridays 14.00 - 16.00 SR 2.040
Oberseminar analysis
Thursdays, 14.00 - 15.00
Lipschitz or alternative room 2.040
Summer Term 2023
Lecture: Advanced Topics in analysis and PDE (V5B1)
Prof. Dr. J.J. L. Velázquez
Second oral exams on Sept. 18, in room 2.023
Please send an email to : ahrens(at)iam.uni-bonn.de confirming your participation and time slot. First come, first served !
Oral exams on July 17, in room 2.023
Please send an email to : ahrens(at)iam.uni-bonn.de confirming your participation and time slot. First come, first served !
Mondays 12:00 - 14:00 N0.003 Neubau
Fridays 12:00 - 14:00 SR 1.007
Graduate Seminar on PDEs (S4B2)
Dr. Eugenia Franco
Mondays 14:00 16:00 SR N0.008 Neubau
preliminary meeting
on Wednesday, January 25 14:15
in SR 2.040
Subject:
Non-local equations modelling physiologically structured populations
Synopsis
copy synopsis with added info for preliminary meeting
Graduate Seminar on PDE in the Sciences (S5B2)
Prof. Dr. Barbara Niethammer, Prof. Dr. Juan Velázquez, Iulia Cristian
Fridays 14.00 - 16.00 SR 2.040
Winter Term 2022 2023
Lecture : Advanced Topics in PDEs and Mathematical Models (V5B3)
Prof. Dr. J.J. L. Velázquez
Mondays 12.00 - 14.00 in N 0.003 Neubau
Fridays 12.00 - 14.00 in N 0.003 Neubau
Graduate Seminar on Analysis and PDEs (S4B1)
preliminary meeting : July 13, 03:00 pm in room 2.025
Hydrodynamics limits of the Boltzmann equation
Prof. J.J. L. Velázquez and Dr. Théophile Dolmaire
Mondays 14.00 - 16.00 in N 0.003 Neubau
PDEs in the sciences (S5B2)
Prof. Barbara Niethammer and Prof. J.J.L. Velázquez
Fridays 14.00 - 16.00 in Endenicher Allee 60 / Sem. room 2.040
Research seminar, where members of the research group and sometimes external guests speak about current research topics.
Master students with a strong background on Nonlinear PDEs are welcome.
Summer Term 2022
Lecture Advanced Topics in Analysis and PDEs (V5B1 )
Prof. J.J.L. Velázquez
presential:
Wednesdays 12.00 - 14.00 in MATH / Sem. Room N0.003
Fridays 12.00 - 14.00 in MATH/ Sem. Room 0.007
Solitons and dispersive equations
Graduate Seminar on Analysis and PDEs (S4B1)
A. Ghosh, C. Lienstromberg & J.J.L. Velázquez
presential:
Mondays 14.00 - 16.00 in MATH/ Sem. Room 0.007
Seminar on Thin-film Flows with Non-trivial
Dynamics
Winter Term 2021 2022
Lecture Advanced Topics in PDEs and Mathematical Models (V5B3)
dynamical systems
Prof. Dr. J.J. L. Velázquez
only presential:
Mondays 12.00 - 14.00 in MATH / Sem. Room 1.007
Fridays 12.00 - 14.00 in MATH/ Room 2.040
Graduate Seminar on Analysis and PDEs (S4B1)
Littlewood-Paley decomposition and partial differential equations
Prof. J.J. L. Velázquez and Bernhard Kepka
only presential:
Mondays 14.00 - 16.00 in MATH/ Sem. Room 1.007
Summer term 2021
- Models arising in geophysical fluids dynamics: Beyond the Euler and Navier-Stokes equations.
Graduate Seminar on Analysis and PDEs (S4B1)
Dr. Diego Alonso-Orán and Dr. Amrita Ghosh
Winter term 2020 2021
- Advanced Topics in PDE and MM
Prof. Dr. J.J. L. Velázquez
(V5B3) Monday 12.00 - 2.00 pm
Friday 10.00 - 12.00
Please register via e-campus
- Hauptseminar Theorie der Distributionen
Prof. Dr. J.J. L. Velázquez
Dr. Diego Alonso Orán
(S2B1) Monday 2.15 - 4.00 pm
Summer term 2020
- Nonlinear Partial Differential Equations II (V4B2)
Prof. Dr. J.J. L. Velázquez
Registration: If you are interested in attending the course, please send an email to Richard Höfer (hoefer(at)iam.uni-bonn.de) - Schrödinger operators with magnetic fields and applications to
superconductivity
Graduate Seminar on Analysis and PDEs (S4B2)
Dr. Arianna Giunti - The rigorous mathematical approach to Kinetic Theory of
Gases and Plasmas
Selected Topics in PDE and Mathematical Models (V5B4)
Dr. Alessia Nota
The lecture starts on April 22. Lectures are given via zoom. Information on the course can be found in the eCampus course of NPDEII: https://ecampus.uni-bonn.de/goto_ecampus_crs_1684171.html - Ordinary Differential Equations and Dynamical Systems
Seminar (S1G1)
Anna Logioti, Professor Dr. J.J. L. Velázquez
Since at the moment it is recommended not to have teaching activities in the university buildings we decided that the talks will be held using Zoom.
The link for these Zoom meetings as well as the schedule of the talks can be found in the eCampus system.
Previous Terms
Summer Term 2019
- Interfaces and singularities in fluid dynamics
Graduate Seminar on Analysis (S4B2)
Dr. Arianna Giunti, Dr. Tania Pernas-Castaño - The theory of solitons
Advanced Topics in Analysis and PDEs (V5B1)
Prof. Dr. J. J. L. Velázquez
Winter Term 2018/2019
- Dynamical systems
Advanced Topics in Analysis and PDE (V5B1)
Prof. Dr. J. Velázquez
- Gamma-convergence and applications
Graduate Seminar on Analysis (S4B1)
Prof. Dr. J. Velázquez, Dr. M. Bonacini
- Nichtlineare Erhaltungsgleichungen - Theorie der Schockwellen
Hauptseminar Partielle Differentialgleichungen (S2B2)
Dr. A. Giunti, R. Höfer
Summer Term 2018
- Nonlinear Partial Differential Equations II
Lecture course (V4B2)
Prof. Dr. J. J. L. Velázquez
- Functions of Bounded Variation
Selected topics in Analysis and Calculus of Variations (V5B6)
Dr. M. Bonacini
- Strange terms coming from nowhere
Graduate Seminar on PDEs (S4B2)
Prof. Dr. J. J. L. Velázquez, Dr. A. Giunti
Winter Term 2017/2018
- Nonlinear Partial Differential Equations I
Lecture course (V4B1)
Prof. Dr. J. J. L. Velázquez - On the mathematical theory of Landau Damping
Graduate Seminar on Analysis (S4B1)
Prof. Dr. J. J. L. Velázquez, Dr. A. Nota - Fluid dynamics and non-linear analysis
Lecture course - Selected topics in Analysis and PDE (V5B2)
Dr. S. Schwarzacher - Graduate Seminar on PDE in the Sciences (S5B2)
Prof. Dr. B. Niethammer, Prof. Dr. J. J. L. Velázquez
Summer Term 2017
- Gewöhnliche Differentialgleichungen
Seminar (S1G1)
Prof. Dr. J. J. L. Velázquez, A. A. Rabasa
Winter Term 2016/2017
- Explicit methods in the theory of Partial Differential Equations
Lecture course (V5B1)
Prof. Dr. J. J. L. Velázquez - Distributionentheorie
Hauptseminar Funktionalanalysis (S2B1)
Dr. M. Bonacini, R. Winter - Spectral Theory in Quantum Mechanics
Graduate Seminar on Analysis (S4B1)
Prof. Dr. J. J. L. Velázquez, Dr. A. Nota
Summer Term 2016
- Nonlinear Partial Differential Equations II
Lecture course and classes (V4B2)
Prof. Dr. J. J. L. Velázquez, Dr. M. Bonacini, R. Höfer - Scaling limits for particle systems
Graduate Seminar on Analysis (S4B1)
Prof. Dr. J. J. L. Velázquez, Dr. A. Nota
Winter Term 2015/2016
- Nonlinear Partial Differential Equations I
Lecture course and classes (V4B1)
Prof. Dr. J. J. L. Velázquez, Dr. M. Helmers - Waves
Graduate Seminar on PDEs (S4B2)
Prof. Dr. J. J. L. Velázquez, Dr. M. Helmers
Summer Term 2015
- Integralgleichungen
Hauptseminar Funktionalanalysis (S2B1)
Dr. M. Helmers, Dr. M. Zaal - Forward-backward parabolic equations
Selected Topics in PDE and Mathematical Models (V5B4)
Dr. M. Helmers - PDE & Modelling
Lecture and classes (V3B2 / F4B1)
Prof. Dr. M. Disertori, Dr. M. Zaal
Winter Term 2014/2015
- PDE and Functional Analysis
Lecture and classes (V3B1)
Prof. J. J. L. Velázquez, Dr. M. Helmers - Variationsrechnung auf Lp-Räumen
Hauptseminar Partielle Differentialgleichungen (S2B2)
Dr. M. Zaal, R. Winter - PDEs with Memory Effects
Graduate Seminar on PDEs (S4B2)
Dr. M. Helmers, H. Pöttker
Summer Term 2014
- Einführung in die partiellen Differentialgleichungen
Vorlesung und Übungen (V2B2)
Prof. J. J. L. Velázquez, Dr. M. Zaal - Theorie der Distributionen
Hauptseminar Funktionalanalysis (S2B1)
Dr. M. Helmers
Winter 2013/2014
- Qualitatives Verhalten partieller Differentialgleichungen
Hauptseminar Partielle Differentialgleichungen (S2B2)
Prof. Dr. J. J. L. Velázquez, Dr. M. Helmers - Asymptotic Analysis
Graduate lecture course (V5B2)
Prof. Dr. J. J. L. Velázquez - Discrete PDEs
Graduate seminar on PDEs (S4B2)
Dr. M. Helmers, Dr. M. Zaal
Summer 2013
- Nonlinear Partial Differential Equations II
Lecture course and classes (V4B2)
Prof. Dr. J. J. L. Velázquez, Dr. M. Zaal - Concentration phenomena in variational problems
Graduate seminar on PDEs (S4B2)
Prof. Dr. J. J. L. Velázquez, Dr. Y. Seki
Winter 2012/2013
- Derivation of macroscopic evolution models from deterministic microscopic equations
Lecture course (V5B3)
Prof. Dr. J. J. L. Velázquez - Geometric Measure Theory in Applications
Graduate Seminar on Analysis (S4B1)
M. Helmers
Summer 2012
- Nonlinear Partial Differential Equations II
Lecture course and classes (V4B2)
Prof. Dr. J. J. L. Velázquez, M. Helmers, S. Guo - Nonlocal diffusion equations
Graduate seminar (S4B2)
Dr. Y. Seki, Prof. J. J. L. Velázquez
Winter 2011/2012
- Nonlinear Partial Differential Equations I
Lecture course and classes (V4B1)
Prof. Dr. J. J. L. Velázquez, M. Helmers
Summer 2011
- Topics in Analysis and PDEs – Free boundary problems
Lecture course (V5B1)
Prof. Dr. J. J. L. Velázquez