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Workgroup Nonlinear Partial Differential Equations

Kollegiengebäude Mathematik (20.30)
Room 3.029

Karlsruher Institut für Technologie
Institut für Analysis
Englerstraße 2
76131 Karlsruhe

Office hours:
Mon, Wed, Thu 10-13 and by email

Tel.: +49 721 608 42064

Fax.: +49 721 608 46530

Photo of Rainer Mandel PD Dr. Rainer Mandel

Office hour for students: by appointment
Room: -1.019 Kollegiengebäude Mathematik (20.30)
Tel.: +49 721 608 46178
Email: rainer.mandel@kit.edu

Institute of Analysis
Workgroup Nonlinear Partial Differential Equations - SFB 1173
Englerstraße 2
76131 Karlsruhe

On July 1st 2016 I started working at KIT as the leader of the Junior Research Group "Nonlinear Helmholtz Equations" within the Collaborative Research Center 1173 "Wave phenomena: Analysis and Numerics" at KIT.

CRC 1173 Wave phenomena: Analysis and Numerics
Site of my Junior Research Group at the Institute for Analysis
Site of my Junior Research Group at the CRC 1173
My homepage


Scientific Works (since 2013)

  • 19 publications, 2 accepted papers and 2 preprints, see here.
  • Dissertation "Grundzustände, Verzweigungen und singuläre Lösungen nichtlinearer Schrödingersysteme" (in German, summa cum laude), see here or pdf.
  • Habilitation "Nonlinear Helmholtz Equations and Systems", see pdf.


Teaching and Tutoring

Scientific interests

  • Dispersive equations
  • Nonlinear Helmholtz Equations
  • Limiting absorption principles for Schrödinger operators
  • Fermi-surfaces und (perturbed) periodic structures
  • Bifurcation theory
  • Lugiato-Lefever equation

Current List of Courses
Semester Titel Typ
Summer Semester 2020 Lecture
Winter Semester 2018/19 Seminar
Summer Semester 2018 Lecture
Winter Semester 2017/18 Lecture
Summer Semester 2017 Lecture
Winter Semester 2013/14 Lecture
Summer Semester 2013 Lecture
Winter Semester 2012/13 Lecture
Summer Semester 2012 Lecture
Winter Semester 2011/12 Lecture
Summer Semester 2011 Seminar
Winter Semester 2010/11 Lecture
Summer Semester 2010 Lecture
Winter Semester 2009/10 Lecture
Summer Semester 2009 Lecture