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Radiative Transfer Equation with Fresnel Reflection and Refraction Conditions in a System of Bodies with Piecewise Smooth Boundaries

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We consider the boundary value problem for the radiative transfer equation with mirror reflection and refraction conditions subject to the Fresnel laws in a system of bodies with piecewise smooth boundaries. In the case of data in the complete scale of Lebesgue spaces, we establish the existence and uniqueness of a solution. We obtain estimates for the solution and study the conjugate problem.

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  1. National Research University “Moscow Power Engineering Institute”, 14, 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 87, October 2016, pp. 03-28.

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Amosov, A.A. Radiative Transfer Equation with Fresnel Reflection and Refraction Conditions in a System of Bodies with Piecewise Smooth Boundaries. J Math Sci 219, 821–849 (2016). https://doi.org/10.1007/s10958-016-3150-1

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