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The Conjugate Boundary Value Problem for Radiation Transfer Equation with Reflection and Refraction Conditions

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We consider the conjugate problem of the boundary value problem for radiation transfer equation with mirror reflection and refraction conditions subject to the Fresnel laws, describing radiation transfer in a system of semitransparent bodies. We show that the resolving operator A ∗ of the conjugate problem is the adjoint of the resolving operator A of the original problem and A ∗ = UA U, where Uf(ω, x) = f(−ω, x). Bibliography: 7 titles.

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Reference

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Authors and Affiliations

  1. National Research University “Moscow Power Engineering Institute”, 4, Krasnokazarmennaya St., Moscow, 111250, Russia

    A. A. Amosov

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  1. A. A. Amosov
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Correspondence to A. A. Amosov.

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Translated from Problemy Matematicheskogo Analiza 76, August 2014, pp. 3–18.

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Amosov, A.A. The Conjugate Boundary Value Problem for Radiation Transfer Equation with Reflection and Refraction Conditions. J Math Sci 202, 113–129 (2014). https://doi.org/10.1007/s10958-014-2037-2

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  • DOI: https://doi.org/10.1007/s10958-014-2037-2

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