The inverse interior transmission eigenvalue problem with mixed spectral data

DOI10.1016/j.amc.2018.09.014zbMath1428.34032OpenAlexW2896865351MaRDI QIDQ2008202

Chung-Tsun Shieh, Yu Ping Wang

Publication date: 22 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.09.014

zbMATH Keywords

inverse spectral problemtransmission eigenvalue problemrefractive indexmixed spectral data

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse problems for PDEs (35R30) Inverse problems involving ordinary differential equations (34A55) Boundary value problems for second-order elliptic systems (35J57)

Related Items (12)

Inverse problem for Hill equation with jump conditions ⋮ Inverse transmission eigenvalue problems for the Schrödinger operator with the Robin boundary condition ⋮ 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 ⋮ A partial inverse problem for non-self-adjoint Sturm-Liouville operators with a constant delay ⋮ On the inverse spectral stability for the transmission eigenvalue problem with finite data ⋮ Inverse transmission eigenvalue problem for fixed angular momentum ⋮ Unnamed Item ⋮ On the partial inverse problems for the transmission eigenvalue problem of the Schrödinger operator ⋮ Inverse spectral problems for non-self-adjoint Sturm-Liouville operators with discontinuous boundary conditions ⋮ On a regularization approach to the inverse transmission eigenvalue problem ⋮ On a non-uniqueness theorem of the inverse transmission eigenvalues problem for the Schrödinger operator on the half line

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