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Some Properties of Boundary Value Problem for Radiative Transfer Equation with Diffuse Reflection and Refraction Conditions

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We study the boundary value problem for the radiative transfer equation with diffuse reflection and refraction conditions. We prove the continuous dependence of the solution on the data and show that the resolving operator of the conjugate problem is the adjoint of the resolving operator of the original problem and , where Uf(ω, x) = f(−ω, x). Bibliography: 10 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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Dedicated with great respect to Professor N. N. Uraltseva

Translated from Problemy Matematicheskogo Analiza 78, January 2015, pp. 5-26.

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Amosov, A.A. Some Properties of Boundary Value Problem for Radiative Transfer Equation with Diffuse Reflection and Refraction Conditions. J Math Sci 207, 118–141 (2015). https://doi.org/10.1007/s10958-015-2360-2

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  • DOI: https://doi.org/10.1007/s10958-015-2360-2

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