The perturbation of transmission eigenvalues for inhomogeneous media in the presence of small penetrable inclusions

DOI10.3934/ipi.2015.9.725zbMath1334.35422OpenAlexW2523935449MaRDI QIDQ256049

Fioralba Cakoni, Scott Rome, Shari Moskow

Publication date: 9 March 2016

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

Full work available at URL: https://doi.org/10.3934/ipi.2015.9.725

zbMATH Keywords

homogenizationinverse scattering probleminterior transmission problemperiodic inhomogeneous mediumtransmission eigenvalues

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Boundary value problems for higher-order elliptic equations (35J40) Inverse problems for PDEs (35R30) Electromagnetic theory (general) (78A25)

Related Items (5)

Nonlinear eigenvalue approximation for compact operators ⋮ The imaging of small perturbations in an anisotropic media ⋮ Asymptotic expansions of transmission eigenvalues for small perturbations of media with generally signed contrast ⋮ On the Existence and Stability of Modified Maxwell Steklov Eigenvalues ⋮ Asymptotic expansions of Stekloff eigenvalues for perturbations of inhomogeneous media

Cites Work

• Unnamed Item
• On the determination of Dirichlet or transmission eigenvalues from far field data
• The interior transmission problem
• Biharmonic problem in exterior domains of \(\mathbb R^n\): An approach with weighted Sobolev spaces
• Computing estimates of material properties from transmission eigenvalues
• The Existence of an Infinite Discrete Set of Transmission Eigenvalues
• On the use of transmission eigenvalues to estimate the index of refraction from far field data
• Transmission Eigenvalues
• Spectral Approximation for Compact Operators
• On the existence of transmission eigenvalues in an inhomogeneous medium
• Spectral analysis of the interior transmission eigenvalue problem
• The inside–outside duality for scattering problems by inhomogeneous media
• Asymptotic expansions for transmission eigenvalues for media with small inhomogeneities
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems

This page was built for publication: The perturbation of transmission eigenvalues for inhomogeneous media in the presence of small penetrable inclusions