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.