Johannes-Kepler-Research Center for Mathematics
Prof. Dr. Helmut Abels
Nonlinear partial differential equations, free boundary value problems, pseudodifferential operator methods |
The main research direction is the mathematical analysis of nonlinear partial differential equations, which mainly come from fluid mechanics and the material sciences. A main focus is on the analysis of free boundary value problems and related geometric evolution equations. In particular, questions of well posedness and regularity as well as the qualitative of solutions are studied. To this end a large variety of different methods are used and further devoloped, which stem from functional analysis, harmonic analysis and (geometric) measure theory. |