On the inverse problem of determining the right-hand side of a parabolic equation under an integral overdetermination condition

被引:0
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作者
V. L. Kamynin
机构
[1] Moscow State Institute of Physical Engineering,
来源
Mathematical Notes | 2005年 / 77卷
关键词
parabolic equation; inverse problem for aparabolic equation; integral overdetermination condition; Fredholm solvability of an inverse problem;
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摘要
We study the unique solvability of the inverse problem of determining the righthand side of a parabolic equation whose leading coefficient depends on both the time and the spatial variable under an integral overdetermination condition with respect to time. We obtain two types of condition sufficient for the local solvability of the inverse problem as well as study the so-called Fredholm solvability of the inverse problem under consideration.
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页码:482 / 493
页数:11
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