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.

引用

页码：2319 / 2344

页数：26

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