Articles with "transmission eigenvalue" as a keyword



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The inverse discrete transmission eigenvalue problem for absorbing media

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Published in 2018 at "Inverse Problems in Science and Engineering"

DOI: 10.1080/17415977.2017.1309397

Abstract: Abstract The inverse problem for the discrete analogue of the transmission eigenvalue problem for absorbing media with a spherically symmetric index of refraction is considered. Some uniqueness results are provided which imply that can be… read more here.

Keywords: transmission; transmission eigenvalue; eigenvalue problem; problem absorbing ... See more keywords
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On the inverse spectral stability for the transmission eigenvalue problem with finite data

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Published in 2020 at "Inverse Problems"

DOI: 10.1088/1361-6420/ab9590

Abstract: In this work, we study the inverse spectral stability for the transmission eigenvalue problem from finitely many data with errors. It is shown that when a≤1, all potentials, whose transmission eigenvalues are e -close in… read more here.

Keywords: transmission; transmission eigenvalue; eigenvalue problem; stability transmission ... See more keywords
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A mixed element scheme for the Helmholtz transmission eigenvalue problem for anisotropic media

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Published in 2022 at "Inverse Problems"

DOI: 10.1088/1361-6420/acc7c1

Abstract: In this paper, we study the Helmholtz transmission eigenvalue problem for inhomogeneous anisotropic media with the index of refraction n(x)≡1 in two and three dimensions. Starting with the nonlinear fourth-order formulation established by Cakoni et… read more here.

Keywords: problem; transmission eigenvalue; eigenvalue problem; helmholtz transmission ... See more keywords
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Electromagnetic interior transmission eigenvalue problem for an inhomogeneous medium with a conductive boundary

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Published in 2020 at "Communications on Pure and Applied Analysis"

DOI: 10.3934/cpaa.2020068

Abstract: The interior transmission eigenvalue problem plays a basic role in the study of inverse scattering problems for an inhomogeneous medium. In this paper, we consider the electromagnetic interior transmission eigenvalue problem for an inhomogeneous medium… read more here.

Keywords: transmission; transmission eigenvalue; interior transmission; eigenvalue problem ... See more keywords