Wave equations on space-times of low regularity: Existence results and regularity theory in the framework of generalized function algebras

Abstract

We present recent developments concerning Lorentzian geometry in algebras of generalized functions. These have, in particular, raised a new interest in refined regularity theory for the wave equation on singular space-times.Comment: 5 pages, presented at the International Conference on Generalized Functions, GF07, September 2007, Bedlewo, Polan