- Lecturer: Jan Giesselmann
Course Contents
Classical treatment of important types of equations (e.g. elliptic, parabolic, hyperbolic, dispersive), variational formulation of elliptic problems, regularity of solutions, theory of Sobolev spaces, Galerkin methods, fixed-point methods for non-linear elliptic and parabolic equations, theory of weak solutions for equations in fluid mechanics
Literature
L.C. Evans: Partial Differential Equations (AMS)
D. Gilbarg, N.S. Trudinger: Elliptic Partial Differential Equations of Second Order (Springer)
M. Renardy, R.C. Rogers: An Introduction to Partial Differential Equations (Springer)
- Lecturer: Christian Stinner
Course Contents
A simple topic is assigned to individual students or to small groups of students. The subject matter may vary with the instructor’s choice of a general theme. The seminar may have a project format. Each participant gives a one hour presentation to the seminar. Students give feedback on the methods of presentation employed by the speaker. Every student compiles his or her talk into a written paper.
Literature
depending on topic
Preconditions
recommended: Analysis and Linear Algebra
- Lecturer: Jan Bruinier
- Lecturer: Jan Giesselmann
- Lecturer: Elena Mäder-Baumdicker
- Lecturer: Kersten Schmidt
- Lecturer: Michael Wüstner
- Lecturer: Yannic Kalka
- Lecturer: Tina Rudolph