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 | |
| Publication status | Published - 31 Jan 2009 |
Keywords
- photon transport problems
- distributional solutions
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Cite this
Belleni-Morante, A., Lamb, W., & McBride, A. C. (2009). A photon transport problem with a time-dependent point source. Analysis and Applications, 7(1), 1-19. https://doi.org/10.1142/S021953050900127X