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Research Article | Open Access

The distribution of exterior transmission eigenvalues for spherically stratified media

Yalin Zhang1, Jia Zhao2( )
Department of Mathematics, Tianjin University of Technology, Tianjin 300384, China
Department of Mathematics, Hebei University of Technology, Tianjin 300401, China
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Abstract

The exterior transmission eigenvalues corresponding to spherical symmetry media and spherically symmetric eigenfunctions are considered. Under various coefficient conditions, we give the number and the asymptotic distribution (described by the subscript numbers) of these eigenvalues in the complex plane.

Keywords

inverse scatteringexterior transmission eigenvaluesnumberdistributionspectral theory
CLC number: 34B24, 78A46

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AIMS Mathematics
Volume 8 Issue 4,
April 2023
Pages 9647-9670
DOI: 10.3934/math.2023487

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Cite this article:
Zhang Y, Zhao J. The distribution of exterior transmission eigenvalues for spherically stratified media. AIMS Mathematics, 2023, 8(4): 9647-9670. https://doi.org/10.3934/math.2023487

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Received: 08 November 2022
Revised: 01 February 2023
Accepted: 06 February 2023
Published: 15 April 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)