Stability estimates for the inverse boundary value problem by partial Cauchy data

被引：49

作者：

Heck, Horst

Wang, Jenn-Nan

机构：

[1] Tech Univ Darmstadt, FB Math, D-64289 Darmstadt, Germany

[2] Natl Taiwan Univ, Dept Math, Taipei 106, Taiwan

来源：

INVERSE PROBLEMS | 2006年 / 22卷 / 05期

关键词：

D O I：

10.1088/0266-5611/22/5/015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the inverse boundary value problem for the Schrodinger equation with a potential and the conductivity equation using partial Cauchy data. We derive stability estimates for these inverse problems.

引用

页码：1787 / 1796

页数：10

共 50 条

[1] Stability estimates for the inverse boundary value problem by partial Cauchy data
Lai, Ru-Yu
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (08) : 1568 - 1581
[2] STABILITY ESTIMATES IN A PARTIAL DATA INVERSE BOUNDARY VALUE PROBLEM FOR BIHARMONIC OPERATORS AT HIGH FREQUENCIES
Liu, Boya
INVERSE PROBLEMS AND IMAGING, 2020, 14 (05) : 783 - 796
[3] Stability estimates for an inverse boundary value problem for biharmonic operators with first order perturbation from partial data
Liu, Boya
INVERSE PROBLEMS, 2024, 40 (06)
[4] Optimal stability estimate in the inverse boundary value problem for periodic potentials with partial data
Bhattacharyya, Sombuddha
Carstea, Catalin I.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 466 (01) : 642 - 654
[5] INCREASING STABILITY FOR THE INVERSE PROBLEM OF THE SCHRODINGER EQUATION WITH THE PARTIAL CAUCHY DATA
Liang, Li
INVERSE PROBLEMS AND IMAGING, 2015, 9 (02) : 469 - 478
[6] Stability of the inverse boundary value problem for the biharmonic operator: Logarithmic estimates
Choudhury, Anupam Pal
Heck, Horst
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2017, 25 (02): : 251 - 263
[7] LOCAL UNIQUENESS FOR AN INVERSE BOUNDARY VALUE PROBLEM WITH PARTIAL DATA
Harrach, Bastian
Ullrich, Marcel
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (03) : 1087 - 1095
[8] High-frequency stability estimates for a partial data inverse problem
Choudhury, Anupam Pal
Krishnan, Venkateswaran P.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (03) : 1573 - 1586
[9] STABILITY ESTIMATES FOR AN INVERSE HYPERBOLIC INITIAL BOUNDARY VALUE PROBLEM WITH UNKNOWN BOUNDARIES
Vessella, Sergio
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2015, 47 (02) : 1419 - 1457
[10] Stability estimates for the inverse boundary value problem for the biharmonic operator with bounded potentials
Choudhury, Anupam Pal
Krishnan, Venkateswaran P.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 431 (01) : 300 - 316

← 1 2 3 4 5 →