- Lecturer: GiesselmannJan
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: StinnerChristian
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: BruinierJan
- Lecturer: GiesselmannJan
- Lecturer: Mäder-BaumdickerElena
- Lecturer: SchmidtKersten
- Lecturer: WüstnerMichael
- Lecturer: KalkaYannic
- Lecturer: RudolphTina