Identification of a time-dependent UV-photon source in an interstellar cloud |
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| Authors: | Aldo Belleni-Morante Francesco Mugelli |
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| Affiliation: | (1) Dipartimento di Ingegneria Civile, via di S. Marta 3, 50139 Firenze, Italia,;(2) Dipartimento di Matematica Applicata, via di S. Marta 3, 50139 Firenze, Italia, |
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| Abstract: | Abstract Consider an interstellar cloud that occupies the region  , bounded by the known surface  , and assume that the scattering cross section σs and the total cross section σ are also known. Then, we prove that it is possible to identify the source q=q(x,t) that produces UV-photons inside the cloud, provided that the UV-photon distribution function arriving at a location  , far from the cloud, is measured at times  ,  , ...,  . Keywords: Photon transport, Semigroups and linear evolution equations, Inverse problems Mathematics Subject Classification (2000): 82A25, 82C70, 34K29, 65M32 |
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