Boundary value problem for radiation transfer equation in multilayered medium with reflection and refraction conditions

被引:8
作者
Amosov, Andrey [1 ]
Shumarov, Michael [1 ]
机构
[1] Natl Res Univ, Moscow Power Engn Inst, Moscow, Russia
关键词
Radiation transfer equation; reflection and refraction conditions; multilayered medium; existence and uniqueness of a solution; a priori estimates; GENERALIZED CONJUGATION CONDITIONS;
D O I
10.1080/00036811.2015.1112000
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a boundary value problem for the radiation transfer equation with reflection and refraction conditions describing a stationary process of the radiation transfer in multilayered semitransparent for radiation medium, consisting of m parallel vertical layers. We establish the existence and uniqueness of a solution for the problem with data from the spaces of L-p type, 1 <= p <= infinity. We also obtain a priori estimates for the solution.
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页码:1581 / 1597
页数:17
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