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arXiv · 1305.7127

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

Blagovest Damyanov
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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

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Blagovest Damyanov. 2013-05-30. Results on modelling and products of singularities in Colombeau algebra G(R). https://arxiv.org/abs/1305.7127

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