A photon transport problem with a time-dependent point source

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

doi:10.1142/S021953050900127X

A photon transport problem with a time-dependent point source

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

Mathematics And Statistics

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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.

Original language	English
Pages (from-to)	1-19
Number of pages	19
Journal	Analysis and Applications
Volume	7
Issue number	1
DOIs	https://doi.org/10.1142/S021953050900127X
Publication status	Published - 31 Jan 2009

Keywords

photon transport problems
distributional solutions

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10.1142/S021953050900127X

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