Non-Linear Partial Differential equations

Roland Donninger

My field of research is the theory of nonlinear partial differential equations. At the moment I am mainly interested in nonlinear wave equations originating in mathematical physics, general relativity, and geometry. The analysis of these equations requires tools from different areas of mathematics. As a consequence, I also work in spectral theory, semigroup theory, harmonic analysis, differential geometry, and numerics. On the physical side, my main interests lie in general relativity and mathematical physics.