Localization of the interior transmission eigenvalues for a ball

DOI10.3934/ipi.2017017zbMath1359.35117arXiv1603.04604OpenAlexW2963205786MaRDI QIDQ519568

Vesselin Petkov, Georgi Vodev

Publication date: 5 April 2017

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

Full work available at URL: https://arxiv.org/abs/1603.04604

zbMATH Keywords

Bessel functionseigenvalue-free regionsinterior Dirichlet-to-Neumann mapinterior transmission eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (6)

Location and Weyl Formula for the Eigenvalues of Some Non Self-Adjoint Operators ⋮ High-frequency approximation of the interior Dirichlet-to-Neumann map and applications to the transmission eigenvalues ⋮ Weyl formula for the negative dissipative eigenvalues of Maxwell's equations ⋮ On the distribution of Born transmission eigenvalues in the complex plane ⋮ A note on transmission eigenvalues in electromagnetic scattering theory ⋮ A duality between scattering poles and transmission eigenvalues in scattering theory

Cites Work

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• The Denseness of the Far Field Patterns for the Transmission Problem
• Distribution of complex transmission eigenvalues for spherically stratified media
• Spectral analysis of the interior transmission eigenvalue problem
• Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem
• Complex eigenvalues and the inverse spectral problem for transmission eigenvalues
• Transmission eigenvalues in one dimension
• The Interior Transmission Problem: Spectral Theory

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