The distribution of exterior transmission eigenvalues for spherically stratified media

Yalin Zhang; Jia Zhao; Yalin Zhang; Jia Zhao

doi:10.3934/math.2023487

AIMS Mathematics

2023, Volume 8, Issue 4: 9647-9670. doi: 10.3934/math.2023487

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Research article

The distribution of exterior transmission eigenvalues for spherically stratified media

Yalin Zhang ¹,
Jia Zhao ^{2
,
,}

1.
Department of Mathematics, Tianjin University of Technology, Tianjin 300384, China
2.
Department of Mathematics, Hebei University of Technology, Tianjin 300401, China

Received: 08 November 2022 Revised: 01 February 2023 Accepted: 06 February 2023 Published: 21 February 2023
MSC : 34B24, 78A46

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.
- inverse scattering,
- exterior transmission eigenvalues,
- number,
- distribution,
- spectral theory
Citation: Yalin Zhang, Jia Zhao. The distribution of exterior transmission eigenvalues for spherically stratified media[J]. AIMS Mathematics, 2023, 8(4): 9647-9670. doi: 10.3934/math.2023487

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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.

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