Each lecture will be accompanied by a problem set that revisits and expands on a selection of topics from the lecture. These exercises will be discussed in the exercise session on Thursdays, according to the following two-week rhythm:
While you are not required to hand in solutions, you are encouraged to do so. Irrespective of this, you should present (at least) one problem and its solution in an exercise session (starting with problem set 2).
Here you find the current draft of the lecture notes. They will be revised and expanded on a running basis. All comments are welcome, in particular also reports on typos.
The aim of this course is to provide an introduction to the rigorous mathematical analysis of solutions to partial differential equations with dispersive or wave features. Classical such examples are the (nonlinear) Schrodinger, wave or KdV equations. These are time evolution problems that arise in many physically relevant contexts, such as quantum mechanics, electrodynamics, fluid motion and relativity theory.
The course will be accompanied by lecture notes, which will be published on a rolling basis. A core part of the lecture material can be found in
Futher book recommendations are
The exam will be oral, 30 minutes duration. Topics include all material from the lecture and the exercises. Active participation in the exercise session is thus highly encouraged.
(to be determined)
Für weitere Informationen kontaktieren Sie bitte: Prof. Dr. Klaus Widmayer
Modul: 23.06.2023 9:00-17:00, Raum: Y27 Plätze: ?, Typ: mündlich
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