117 citations · 882 across the 65 of their papers we have counts for
3 papers · 1 filter
Admissible Transformations and Normalized Classes of Nonlinear Schroedinger Equations
Roman O. Popovych, Michael Kunzinger, Homayoon Eshraghi
The theory of group classification of differential equations is analyzed, substantially extended and enhanced based on the new notions of conditional equivalence group and normaliz…
Sheaves of nonlinear generalized functions and manifold-valued distributions
Michael Kunzinger, Roland Steinbauer, James A. Vickers
This paper is part of an ongoing program to develop a theory of generalized differential geometry. We consider the space of Colombeau generalized functions defin…
Generalized solutions of the Vlasov-Poisson system with singular data
Irina Kmit, Michael Kunzinger, Roland Steinbauer
We study spherically symmetric solutions of the Vlasov-Poisson system in the context of algebras of generalized functions. This allows to model highly concentrated initial configur…