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

2013/05/30 by Blagovest Damyanov, Damyanov, Blagovest
Mathematics · #46F10 #46F30 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46F10 #msc:46F30

paper · pdf · doi:10.48550/arxiv.1305.7127

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

arxiv created 2013/05/30 · arxiv updated 2013/05/31

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

Citations

• On modelling of singularities and their products in Colombeau algebra G(R)

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