117 citations · 882 across the 65 of their papers we have counts for
5 papers · 1 filter
Singularity structures for noncommutative spaces
Shantanu Dave, Michael Kunzinger
We introduce a (bi)category whose objects can be functorially assigned spaces of distributions and generalized functions. In addition, these spaces of distributio…
Wave equations on non-smooth space-times
Guenther Hoermann, Michael Kunzinger, Roland Steinbauer
We consider wave equations on Lorentzian manifolds in case of low regularity. We first extend the classical solution theory to prove global unique solvability of the Cauchy problem…
Geometric regularization on Riemannian and Lorentzian manifolds
Shantanu Dave, Guenther Hoermann, Michael Kunzinger
We investigate regularizations of distributional sections of vector bundles by means of nets of smooth sections that preserve the main regularity properties of the original distrib…
Topological and algebraic structures on the ring of Fermat reals
Paolo Giordano, Michael Kunzinger
The ring of Fermat reals is an extension of the real field containing nilpotent infinitesimals, and represents an alternative to Synthetic Differential Geometry in classical logic.…
Manifold-valued generalized functions in full Colombeau spaces
Michael Kunzinger, Eduard Nigsch
We introduce the notion of generalized function taking values in a smooth manifold into the setting of full Colombeau algebras. After deriving a number of characterization results…