Results on modelling and products of singularities in Colombeau algebra G(R)

Abstract

Modelling of singularities given by discontinuous functions or distributions by means of generalized functions has proved useful in many problems posed by physical phenomena. We introduce in a systematic way generalized functions of Colombeau that model such singularities. Moreover, we evaluate some products of singularity-modelling generalized functions whenever the result admits an associated distribution

11 pages. arXiv admin note: substantial text overlap with arXiv:1007.1568