A photon transport problem with a time-dependent point source

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

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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.
Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalAnalysis and Applications
Issue number1
Publication statusPublished - 31 Jan 2009


  • photon transport problems
  • distributional solutions


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