3 papers
math.FA2007
Foundations of the calculus of variations in generalized function algebras
Sanja Konjik, Michael Kunzinger, Michael Oberguggenberger
We propose the use of algebras of generalized functions for the analysis of certain highly singular problems in the calculus of variations. After a general study of extremal proble…
math.AP2007
Symmetries of Conservation Laws
Sanja Konjik
The aim of this paper is to apply techniques of symmetry group analysis in solving two systems of conservation laws: a model of two strictly hyperbolic conservation laws and a zero…
math.FA2005
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…