Uniqueness of the interior transmission problem with partial information on the potential and eigenvalues

DOI10.1016/j.jde.2015.11.031zbMath1335.34043OpenAlexW2186400331MaRDI QIDQ907787

Sergey Buterin, Chuan-Fu Yang

Publication date: 26 January 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.11.031

zbMATH Keywords

inverse spectral problemWeyl functioninterior transmission problem

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

Related Items (11)

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 ⋮ Reconstruction techniques for complex potentials ⋮ On the inverse spectral stability for the transmission eigenvalue problem with finite data ⋮ Inverse transmission eigenvalue problem for fixed angular momentum ⋮ Unnamed Item ⋮ A biharmonic transmission problem in \(L^p\)-spaces ⋮ Solution to the interior transmission problem using nodes on a subinterval as input data ⋮ Inverse transmission eigenvalue problems with the twin-dense nodal subset ⋮ The inverse interior transmission eigenvalue problem with mixed spectral data ⋮ On the partial inverse problems for the transmission eigenvalue problem of the Schrödinger operator

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