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

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

2010-07-09

arxiv.org/abs/1007.1568v1

Mathematics

Functional Analysis

Scientific paper

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 singularities given by distributions with singular point support. Moreover, we evaluate various products of such generalized models whenever the results admit associated distributions. The results obtained follow the idea of a well-known result of Jan Mikusinski on balancing of singular distributional products.

Affiliated with

Also associated with

No associations

Rating

On modelling of singularities and their products in Colombeau algebra G(R) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On modelling of singularities and their products in Colombeau algebra G(R), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On modelling of singularities and their products in Colombeau algebra G(R) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-645222