Uniqueness and counterexamples in some inverse source problems

被引：6
|
作者：
Slodicka, M. [1 ]
Johansson, B. Tomas [2 ]
机构：
[1] Univ Ghent, Dept Math Anal, Res Grp Numer Anal & Math Modeling NaM2, Galglaan 2-S22, B-9000 Ghent, Belgium
[2] Aston Univ, Math, EAS, Birmingham B4 7ET, W Midlands, England
来源：
APPLIED MATHEMATICS LETTERS | 2016年 / 58卷
关键词：
Heat equation; Inverse source problem; DEPENDENT HEAT-SOURCE;
D O I：
10.1016/j.aml.2016.02.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Uniqueness of a solution is investigated for some inverse source problems arising in linear parabolic equations. We prove new uniqueness results formulated in Theorems 3.1 and 3.2. We also show optimality of the conditions under which uniqueness holds by explicitly constructing counterexamples, that is by constructing more than one solution in the case when the conditions for uniqueness are violated. (C) 2016 Elsevier Ltd. All rights reserved.
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页码：56 / 61
页数：6
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