Multiplication of distributions in any dimension:applications to $delta$-function and its derivatives

Risultato della ricerca: Articlepeer review

5 Citazioni (Scopus)

Abstract

In two previous papers the author introduced a multiplication of distributions in one dimension and he proved that two one-dimensional Dirac delta functions and their derivatives can be multiplied, at least under certain conditions. Here, mainly motivated by some engineering applications in the analysis of the structures, we propose a different definition of multiplication of distributions which can be easily extended to any spatial dimension. In particular we prove that with this new definition delta functions and their derivatives can still be multiplied.
Lingua originaleEnglish
pagine (da-a)1337-1344
Numero di pagine8
RivistaJournal of Mathematical Analysis and Applications
Volume337
Stato di pubblicazionePublished - 2008

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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