## Partial differential equations and dynamical systems

The main research topics in partial differential equations comprise:

- Generalized solutions to nonlinear partial differential equations, propagation of singularities in linear partial differential equations with discontinuous coefficients, stochastic partial differential equations, algebras of generalized functions, Fourier integral operators; → Michael Oberguggenberger

- Inverse problems, ill-posed problems, imaging and optimization, kinetic theory and statistical mechanics, shock and delta wave solutions to quasilinear hyperbolic systems; → Lukas Neumann

- Linear partial differential equations and systems, fundamental solutions and Green's functions, linear theory of generalized functions, functional analysis; → Peter Wagner

- Multbody simulations, coupled systems of ordinary and partial differential equations. → Robert Eberle