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

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

2007-11-13

arxiv.org/abs/0711.1972v1

Mathematics

Analysis of PDEs

5 pages, presented at the International Conference on Generalized Functions, GF07, September 2007, Bedlewo, Poland

Scientific paper

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.

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