STABILITY FOR SOME INVERSE PROBLEMS FOR TRANSPORT EQUATIONS

被引：19
|
作者：
Golgeleyen, Fikret [1 ]
Yamamoto, Masahiro [2 ]
机构：
[1] Bulent Ecevit Univ, Fac Arts & Sci, Dept Math, TR-67100 Zonguldak, Turkey
[2] Univ Tokyo, Dept Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2016年 / 48卷 / 04期
基金：
日本学术振兴会;
关键词：
inverse problem; transport equation; stability estimates; LIPSCHITZ STABILITY; GLOBAL UNIQUENESS; CARLEMAN;
D O I：
10.1137/15M1038128
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider inverse problems of determining a source term and a coefficient of a first-order partial differential equation and prove conditional stability estimates with minimum boundary observation data and a relaxed condition on the principal part.
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页码：2319 / 2344
页数：26
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