Geodesic
On the Structure of the Continuity Set of the Solution to a Boundary-Value Problem for the Radiation Transfer Equation
Matematičeskie zametki, Tome 86 (2009) no. 2, pp. 256-272.

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In this paper, we study the continuity properties of the solution to a boundary-value problem for the radiation transfer equation with generalized conjugation conditions at the interface of media. We establish the solvability of the boundary-value problem and obtain estimates of the maximum principle type. It is shown that the Fresnel component in the conjugation operator significantly complicates the structure of the set on which the solution of the boundary-value problem is continuous.
Keywords: radiation transfer equation, boundary-value problem, conjugation operator, Fresnel reflection, Snell's law, index of refraction.
Mots-clés : diffuse reflection, reflection indicatrix 
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I. V. Prokhorov. On the Structure of the Continuity Set of the Solution to a Boundary-Value Problem for the Radiation Transfer Equation. Matematičeskie zametki, Tome 86 (2009) no. 2, pp. 256-272. http://geodesic.mathdoc.fr/item/MZM_2009_86_2_a8/

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