55 citations · 96 across the 9 of their papers we have counts for
9 papers
Ordinary differential equations in algebras of generalized functions
Evelina Erlacher, Michael Grosser
A local existence and uniqueness theorem for ODEs in the special algebra of generalized functions is established, as well as versions including parameters and dependence on initial…
Full and special Colombeau algebras
Eduard A. Nigsch, Michael Grosser
We introduce full diffeomorphism-invariant Colombeau algebras with added $\varepsilone$-dependence in the basic space. This unites the full and special settings of the theory into…
Inversion of a "discontinuous coordinate transformation" in general relativity
Evelina Erlacher, Michael Grosser
As early as 1972, Penrose - in a purely formal way - introduced a "discontinuous coordinate transformation", which relates a continuous representation of the metric of impulsive pp…
A global theory of algebras of generalized functions II: tensor distributions
Michael Grosser, Michael Kunzinger, Roland Steinbauer +1
We extend the construction of [19] by introducing spaces of generalized tensor fields on smooth manifolds that possess optimal embedding and consistency properties with spaces of t…
A Note on Distribution Spaces on Manifolds
Michael Grosser
26 different concrete representations of the space of vector valued distributions on a smooth manifold of dimension n are presented systematically, most of them new. In the particu…
Tensor Valued Colombeau Functions on Manifolds
Michael Grosser
Extending the construction of the (intrinsically defined) full algebra of scalar valued Colombeau functions on a smooth manifold M (Grosser et al., Adv. Math. 166 (2002), 179-206)…