Solvability of the initial-boundary value problem for an integrodifferential equation

被引：13

作者：

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

机构：

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

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2012年 / 53卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

nonstationary equation; generalized matching conditions; strongly continuous semigroup;

D O I：

10.1134/S0037446612020127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under study is the well-posedness of the Cauchy problem for the nonstationary radiation transfer equation with generalized matching conditions at the interface between the media. We prove the existence of a unique strongly continuous semigroup of resolvents, estimate its order of growth, and consider the question of stabilization of the nonstationary solution.

引用

页码：301 / 309

页数：9

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