On a local solvability and stability of the inverse transmission eigenvalue problem

被引：40

作者：

Bondarenko, Natalia ^{[1
,2
]}

Buterin, Sergey ^{[2
]}

机构：

[1] Samara Natl Res Univ, Dept Appl Math, Samara, Russia

[2] Saratov Natl Res State Univ, Dept Math, Saratov, Russia

来源：

INVERSE PROBLEMS | 2017年 / 33卷 / 11期

关键词：

inverse spectral problem; transmission eigenvalue problem; local solution; stability;

D O I：

10.1088/1361-6420/aa8cb5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a local solvability and stability of the inverse transmission eigenvalue problem posed by McLaughlin and Polyakov (1994 J. Diff. Equ. 107 351-82). In particular, this result establishes the minimality of the data used therein. The proof is constructive.

引用

页数：19

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