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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 1: Recent Developments in Scattering and Inverse Scattering Problems
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Articles

The interior transmission eigenvalue problem for an inhomogeneous media with a conductive boundary

O. BondarenkoDepartment of Mathematics, Karlsruhe Institute of Technology, Karlsruhe, Germany.
,
I. HarrisDepartment of Mathematics, Texas A&M University,, College Station, TX, USA.Correspondence[email protected]
&
A. KleefeldInstitute for Applied Mathematics and Scientific Computing, Brandenburg University of Technology, Cottbus, Germany.
Pages 2-22 | Received 30 Jan 2016, Accepted 14 Jun 2016, Published online: 07 Jul 2016

Citations (13)

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Read on this site (5)

Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld & Nikolaos Pallikarakis. (2024) Analysis of the transmission eigenvalue problem with two conductivity parameters. Applicable Analysis 103:1, pages 211-239.
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I. Harris & A. Kleefeld. (2022) Analysis and computation of the transmission eigenvalues with a conductive boundary condition. Applicable Analysis 101:6, pages 1880-1895.
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I. Harris. (2021) Analysis of two transmission eigenvalue problems with a coated boundary condition. Applicable Analysis 100:9, pages 1996-2019.
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Huaian Diao, Xinlin Cao & Hongyu Liu. (2021) On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications. Communications in Partial Differential Equations 46:4, pages 630-679.
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I. Harris & A. Kleefeld. (2020) The inverse scattering problem for a conductive boundary condition and transmission eigenvalues. Applicable Analysis 99:3, pages 508-529.
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Articles from other publishers (8)

Jianli Xiang & Guozheng Yan. (2023) The interior transmission eigenvalue problem for an anisotropic medium by a partially coated boundary. Acta Mathematica Scientia 44:1, pages 339-354.
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Jianli Xiang & Guozheng Yan. (2023) Uniqueness of refractive indices and transmission coefficients by an inhomogeneous medium in acoustic scattering. IMA Journal of Applied Mathematics 88:4, pages 558-575.
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Isaac Harris. (2023) Regularized factorization method for a perturbed positive compact operator applied to inverse scattering. Inverse Problems 39:11, pages 115007.
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Huaian Diao & Hongyu LiuHuaian Diao & Hongyu Liu. 2023. Spectral Geometry and Inverse Scattering Theory. Spectral Geometry and Inverse Scattering Theory 199 242 .
Besiana Cobani, Aurora Simoni & Ledia Subashi. (2021) Important Issues on Spectral Properties of a Transmission Eigenvalue Problem. International Journal of Differential Equations 2021, pages 1-7.
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Jianli Xiang & Guozheng Yan. (2021) Uniqueness of the Inverse Transmission Scattering with a Conductive Boundary Condition. Acta Mathematica Scientia 41:3, pages 925-940.
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Isaac Harris. (2020) Approximation of the Zero-Index Transmission Eigenvalues with a Conductive Boundary and Parameter Estimation. Journal of Scientific Computing 82:3.
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Juan Liu, Yanfang Liu & Jiguang Sun. (2019) An inverse medium problem using Stekloff eigenvalues and a Bayesian approach. Inverse Problems 35:9, pages 094004.
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