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

被引：0
作者：
I. V. Prokhorov
机构：
[1] Far Eastern Branch of the Russian Academy of Sciences Far Eastern Federal University,Institute of Applied Mathematics
来源：
Siberian Mathematical Journal | 2012年 / 53卷
关键词：
nonstationary equation; generalized matching conditions; strongly continuous semigroup;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：301 / 309
页数：8
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