KIT - Department of Mathematics - Dr. Friedrich Klaus

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Department of Mathematics

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Institute for Analysis

Workgroup Applied Analysis

Dr. Friedrich Klaus

Im Wintersemester 22/23 betreue ich wieder einen Lernraum, siehe https://www.math.kit.edu/lehre/seite/eingangsphase/de.

I am doctoral student at KIT since September 2019 and working within project A1 of CRC 1173. (https://www.waves.kit.edu/)

My main interests are:
- Dispersive equations
- Complete Integrability
- Harmonic Analysis
- Fluid Dynamics
- Mathematical Physics

Papers/preprints:
- Well-Posedness of NLS in Modulation Spaces, J. Fourier Anal. Appl. 29, 9 (2023), https://rdcu.be/c29KI, https://doi.org/10.1007/s00041-022-09985-9, https://arxiv.org/abs/2204.04957
- with Peer Kunstmann: Global wellposedness of NLS in $H^1(\mathbb{R}) + H^s(\mathbb{T})$ , J. Math. Anal. Appl. 514 (2022), no. 2, Paper No. 126359, 14 pp., https://doi.org/10.1016/j.jmaa.2022.126359, https://arxiv.org/abs/2109.11341
- with Robert Schippa: A priori estimates for the derivative nonlinear Schrödinger equation, Funkcial. Ekvac. 65 (2022), no. 3, 329–346, https://doi.org/10.1619/fesi.65.329, https://arxiv.org/abs/2007.13161
- with Peer Kunstmann and Nikolaos Pattakos: Unconditional uniqueness of higher order nonlinear Schrödinger equations, Czechoslov. Math. J., Vol. 71, No. 3, pp. 709-742 (2021), https://doi.org/10.21136/CMJ.2021.0078-20, https://arxiv.org/abs/1911.06078

Current List of Courses
Semester	Titel	Typ
Summer Semester 2022		Proseminar
Summer Semester 2020	Seminar "Ausgewählte Themen aus der Analysis"	Seminar
Winter Semester 2019/20	Seminar Fourier Analysis	Seminar