Geodesic
The Cauchy problem for the non-stationary radiative transfer equation with Compton scattering
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1943-1952.

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The paper considers the initial-boundary-value problem for the radiative transfer equation in an inhomogeneous medium with a collision integral that describes Compton scattering by free electrons. The problem is reduced to abstract Cauchy problem in Banach space. Using the theory of strongly continuous semigroups, well-posedness of the Cauchy problem is proved. Conditions of the operator semigroup stability are found.
Keywords: radiative transfer equation, Compton scattering, Cauchy problem, strongly continuous semigroup. 
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I. V. Prokhorov; I. P. Yarovenko. The Cauchy problem for the non-stationary radiative transfer equation with Compton scattering. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1943-1952. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a106/

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