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Radiative Transfer Equation with Diffuse 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 diffuse reflection and refraction conditions in a system of semitransparent bodies with piecewise smooth boundaries. For the problem with data in the complete scale of Lebesgue spaces we establish the existence and uniqueness of a solution. We obtain a priori estimates for the solution and show the continuous dependence of the solution on the data. The conjugate problem is also studied. Bibliography: 8 titles.

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References

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Authors and Affiliations

  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 84, April 2016, pp. 11-34.

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Amosov, A.A. Radiative Transfer Equation with Diffuse Reflection and Refraction Conditions in a System of Bodies with Piecewise Smooth Boundaries. J Math Sci 216, 155–181 (2016). https://doi.org/10.1007/s10958-016-2894-y

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  • DOI: https://doi.org/10.1007/s10958-016-2894-y

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