Spectral properties of exterior transmission problem for spherically stratified anisotropic media

DOI10.1080/00036811.2019.1659956zbMath1471.34046OpenAlexW2971810857WikidataQ127297342 ScholiaQ127297342MaRDI QIDQ4989432

Yalin Zhang

Publication date: 25 May 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1659956

zbMATH Keywords

distributionuniquenessspectral theoryinverse scatteringexterior transmission eigenvalues

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Inverse problems involving ordinary differential equations (34A55) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) 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)

Cites Work

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• On the determination of a differential equation from its spectral function
• Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems
• The inverse spectral problem for exterior transmission eigenvalues
• Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem
• Transmission eigenvalues
• The factorization method for a cavity in an inhomogeneous medium

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