A photon transport problem with a time-dependent point source

A. Belleni-Morante, W. Lamb, A.C. McBride

Research output: Contribution to journalArticle

Abstract

We consider a time-dependent problem of photon transport in an interstellar cloud with a point photon source modeled by a Dirac δ functional. The existence of a unique distributional solution to this problem is established by using the theory of continuous semigroups of operators on locally convex spaces coupled with a constructive approach for producing spaces of generalized functions.
LanguageEnglish
Pages1-19
Number of pages19
JournalAnalysis and Applications
Volume7
Issue number1
DOIs
Publication statusPublished - 31 Jan 2009

Fingerprint

Point Source
Light sources
Photon
Photons
Semigroups of Operators
Locally Convex Space
Generalized Functions
Paul Adrien Maurice Dirac

Keywords

  • photon transport problems
  • distributional solutions

Cite this

Belleni-Morante, A. ; Lamb, W. ; McBride, A.C. / A photon transport problem with a time-dependent point source. In: Analysis and Applications. 2009 ; Vol. 7, No. 1. pp. 1-19.
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A photon transport problem with a time-dependent point source. / Belleni-Morante, A.; Lamb, W.; McBride, A.C.

In: Analysis and Applications, Vol. 7, No. 1, 31.01.2009, p. 1-19.

Research output: Contribution to journalArticle

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