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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2014 Volume 14, Number 1, Pages 109–121 (Mi dvmg278)

This article is cited in 5 papers

On the solvability of the boundary value problem for the radiation transfer equation with the Compton scattering effect

I. P. Yarovenko

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok

Abstract: The work is devoted to the study of the solubility of the boundary problem for the radiation transfer equation with the Compton scattering effect. The boundary value problem is reduced to the equivalent integral equation of Volterra type. The result of the work is the existence and uniqueness theorem of the solution for the boundary value problem of the radiative transfer equation.

Key words: radiation transfer theory, Сompton scattering.

UDC: 517.958

MSC: Primary 35Q60; Secondary 35R30

Received: 20.09.2013



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