Distribution of transmission eigenvalues and inverse spectral analysis with partial information on the refractive index

DOI10.1002/mma.3918zbMath1355.34041OpenAlexW2309722760MaRDI QIDQ5507162

Chuan-Fu Yang, Xin-Jian Xu, Xiao-Chuan Xu

Publication date: 16 December 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3918

zbMATH Keywords

asymptotic distributioninverse spectral problemtransmission eigenvalue

Mathematics Subject Classification ID

Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (6)

On the stability of the inverse transmission eigenvalue problem from the data of McLaughlin and Polyakov ⋮ Stability of the inverse transmission eigenvalue problem for the Schrödinger operator with a radial potential ⋮ On the inverse spectral stability for the transmission eigenvalue problem with finite data ⋮ The inverse interior transmission eigenvalue problem with mixed spectral data ⋮ On the partial inverse problems for the transmission eigenvalue problem of the Schrödinger operator ⋮ On a non-uniqueness theorem of the inverse transmission eigenvalues problem for the Schrödinger operator on the half line

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