Belleni-Morante, A. and Lamb, W. and McBride, A.C. (2009) *A photon transport problem with a time-dependent point source.* Analysis and Applications, 7 (1). pp. 1-19. ISSN 0219-5305

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Official URL: http://dx.doi.org/10.1142/S021953050900127X

## 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.

Item type: | Article |
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ID code: | 13316 |

Keywords: | photon transport problems, distributional solutions, Science (General), Mathematics, Analysis, Applied Mathematics |

Subjects: | Science > Science (General) Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics Faculty of Science > Mathematics and Statistics > Mathematics |

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Depositing user: | Mrs Carolynne Westwood |

Date Deposited: | 10 Nov 2009 13:24 |

Last modified: | 05 Sep 2014 03:26 |

URI: | http://strathprints.strath.ac.uk/id/eprint/13316 |

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