12 citations · 24 across the 2 of their papers we have counts for
3 papers
The classical theory of calculus of variations for generalized functions
Alexander Lecke, Lorenzo Luperi Baglini, Paolo Giordano
We present an extension of the classical theory of calculus of variations to generalized functions. The framework is the category of generalized smooth functions, which includes Sc…
Geodesics in nonexpanding impulsive gravitational waves with , Part I
Clemens Sämann, Roland Steinbauer, Alexander Lecke +1
We investigate the geodesics in the entire class of nonexpanding impulsive gravitational waves propagating in an (anti-)de Sitter universe using the distributional form of the metr…
The regularity of geodesics in impulsive pp-waves
Alexander Lecke, Roland Steinbauer, Robert Svarc
We consider the geodesic equation in impulsive pp-wave space-times in Rosen form, where the metric is of Lipschitz regularity. We prove that the geodesics (in the sense of Caratheo…