FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
The Cauchy problem for the radiatve transfer equation in an unbounded medium |
Prokhorov I.V., Sushchenko A.A. |
2018, issue 1, P. 101-111 |
Abstract |
| The correctness of the Cauchy problem of the integro-differential radiation transfer equation in a system of two unbounded subdomains, separated by a reflecting and refracting surface, is investigated. The existence of a unique strongly continuous semigroup of resolving operators of the Cauchy problem is proved. Conditions on the order of growth of the semigroup are obtained. |
Keywords: radiative transfer equation, Cauchy problem, generalized matching conditions |
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References |
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