Continuous dependence of the transmission eigenvalues in one dimension

DOI10.3934/ipi.2015.9.273zbMath1315.34030OpenAlexW2330668320MaRDI QIDQ2254770

Guoliang Shi, Yalin Zhang

Publication date: 6 February 2015

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/ipi.2015.9.273

zbMATH Keywords

boundary value problemscattering theoryinhomogeneous mediuminterior transmission problemtransmission eigenvaluescontinuous dependencetransmission eigenfunctions

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the use of \(T\)-coercivity to study the interior transmission eigenvalue problem
• Transmission eigenvalues for inhomogeneous media containing obstacles
• The interior transmission problem
• On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
• Floquet theory for left-definite Sturm-Liouville problems
• Eigenvalues of regular Sturm-Liouville problems
• On the existence of transmission eigenvalues
• Complex transmission eigenvalues for spherically stratified media
• The Interior Transmission Problem for Regions with Cavities
• The Existence of an Infinite Discrete Set of Transmission Eigenvalues
• The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation
• Interior transmission eigenvalue problem with refractive index having C²-transition to the background medium
• Far-Field Patterns for Acoustic Waves in an Inhomogeneous Medium
• On the existence of transmission eigenvalues in an inhomogeneous medium
• The Interior Transmission Eigenvalue Problem
• Transmission Eigenvalues for Operators with Constant Coefficients
• Transmission eigenvalues in one dimension
• Inverse acoustic and electromagnetic scattering theory

This page was built for publication: Continuous dependence of the transmission eigenvalues in one dimension