18 citations · 18 across the 4 of their papers we have counts for
4 papers
Group invariants in algebras of generalized functions
Sanja Konjik, Michael Kunzinger
We study invariance properties of Colombeau generalized functions under actions of smooth Lie transformation groups. Several characterization results analogous to the smooth settin…
Global Gronwall Estimates for Integral Curves on Riemannian Manifolds
Michael Kunzinger, Hermann Schichl, Roland Steinbauer +1
We prove Gronwall-type estimates for the distance of integral curves of smooth vector fields on a Riemannian manifold. Such estimates are of central importance for all methods of s…
On Classical Solutions of the Relativistic Vlasov-Klein-Gordon System
Michael Kunzinger, Gerhard Rein, Roland Steinbauer +1
We consider a collisionless ensemble of classical particles coupled to a Klein-Gordon field. For the resulting nonlinear system of partial differential equations, the relativistic…
Non-smooth differential geometry and algebras of generalized functions
Michael Kunzinger
Algebras of generalized functions offer possibilities beyond the purely distributional approach in modelling singular quantities in non-smooth differential geometry. This article p…