On the well-posedness of the Cauchy problem for the equation of radiative transfer with Fresnel matching conditions

被引：15

作者：

Prokhorov, I. V. ^{[1
,2
]}

Sushchenko, A. A. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Inst Appl Math, Far Eastern Branch, Vladivostok 690022, Russia

[2] Far Eastern Fed Univ, Vladivostok, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2015年 / 56卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

integrodifferential equations; nonstationary equations; Cauchy problem; Fresnel matching conditions; Hille-Yosida theorem; BOUNDARY-VALUE-PROBLEM; GENERALIZED CONJUGATION CONDITIONS; COMPTON-SCATTERING; TRANSPORT-EQUATION;

D O I：

10.1134/S0037446615040151

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the well-posedness of the Cauchy problem for the nonstationary equation of radiative transfer in a three-dimensional bounded domain with Fresnel matching conditions on the interfaces. We prove the existence of a unique strongly continuous semigroup of resolvent operators, and obtain stabilization conditions for nonstationary solutions.

引用

页码：736 / 745

页数：10

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