Florian Hanisch (Potsdam)
We will review the existence and uniqueness results for linear, symmetric hyperbolic systems of PDEs based on energy estimates. We will mostly follow the book by C.D. Sogge, "Lectures on Non-Linear Wave equations" which discusses results on Rn+1 and only mention more "invariant" results on globally hyperbolic Lorentzian manifolds. If time allows, we will start discussing existence results for quasi-linear systems.