Geodesic
Generalized Solution of the Photon Transport Problem
Canadian mathematical bulletin, Tome 54 (2011) no. 1, pp. 28-38

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The purpose of this paper is to show the existence of a generalized solution of the photon transport problem. By means of the theory of equicontinuous ${{C}_{0}}$ -semigroup on a sequentially complete locally convex topological vector space we show that the perturbed abstract Cauchy problem has a unique solution when the perturbation operator and the forcing term function satisfy certain conditions. A consequence of the abstract result is that it can be directly applied to obtain a generalized solution of the photon transport problem.
DOI : 10.4153/CMB-2010-089-6
Mots-clés : 35K30, 47D03, photon transport, C 0-semigroup 
Chang, Yu-Hsien; Hong, Cheng-Hong. Generalized Solution of the Photon Transport Problem. Canadian mathematical bulletin, Tome 54 (2011) no. 1, pp. 28-38. doi: 10.4153/CMB-2010-089-6
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     title = {Generalized {Solution} of the {Photon} {Transport} {Problem}},
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     year = {2011},
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     doi = {10.4153/CMB-2010-089-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-089-6/}
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