Fields of research in the group of Professor Racke
Partial Differential Equations
We are doing research on
lineare and nonlinear evolution equations.
The focus lies on the dynamics of solutions, in particular on the long
time behavior of the systems, and on the question of
existence of solutions for nonlinear problems.
Special ansätze also deal with stationary problems like generalized
eigenfunction expansions. Typical applications concern initial boundary
value problems for hyperbolic-parabolic systems, or wave equations in
unbounded domains.
A survey can also be obtained from our
papers.