117 citations · 882 across the 65 of their papers we have counts for
3 papers · 1 filter
Regularized derivatives in a 2-dimensional model of self-interacting fields with singular data
Guenther Hoermann, Michael Kunzinger
The coupled Maxwell-Lorentz system describes feed-back action of electromagnetic fields in classical electrodynamics. When applied to point-charge sources (viewed as limiting cases…
Group analysis of differential equations and generalized functions
Michael Kunzinger, Michael Oberguggenberger
We present an extension of the methods of classical Lie group analysis of differential equations to equations involving generalized functions (in particular: distributions). A suit…
On the foundations of nonlinear generalized functions I
Eva Farkas, Michael Grosser, Michael Kunzinger +1
We construct a diffeomorphism invariant (Colombeau-type) differential algebra canonically containing the space of distributions in the sense of L. Schwartz. Employing differential…