On some classes of inverse problems of recovering a source function

被引：0
作者：
Pyatkov S.G. [1 ,2 ]
Safonov E.I. [1 ]
机构：
[1] Yugra State University, Khanty-Mansiisk
[2] Sobolev Institute of Mathematics, Novosibirsk
来源：
Siberian Advances in Mathematics | 2017年 / 27卷 / 2期
关键词：
existence; initial-boundary value problem; inverse problem; second order parabolic equation; unconditional solvability; uniqueness; well-posedness;
D O I：
10.3103/S1055134417020031
中图分类号：
学科分类号：
摘要：
In the article we examine the question on solvability, uniqueness, and some qualitative properties of solutions to inverse problems of recovering point sources (the right-hand sides of a special form) in a one-dimensional parabolic equation. The values of a solution at some collection of points are taken as the overdetermination conditions. Examples are exposed that show that the uniqueness fails without additional conditions on the mutual disposition of sources and measurement points. © 2017, Allerton Press, Inc.
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页码：119 / 132
页数：13
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