On the interior transmission eigenvalue problem

DOI10.1504/IJCSM.2010.033932zbMath1204.78008OpenAlexW2009247212MaRDI QIDQ988539

Andreas Kirsch, Fioralba Cakoni

Publication date: 17 August 2010

Published in: International Journal of Computing Science and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1504/ijcsm.2010.033932

zbMATH Keywords

Neumann boundary value problemMaxwell's equationsHelmholtz equationinhomogeneous mediuminverse scatteringtransmission eigenvalues

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Waves and radiation in optics and electromagnetic theory (78A40) Eigenvalue problems for integral equations (45C05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Boundary eigenvalue problems for ordinary differential equations (34B09) Inverse problems for integral equations (45Q05)

Related Items (17)

Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media ⋮ Bilaplacian problems with a sign-changing coefficient ⋮ Weyl Type Bound on Positive Interior Transmission Eigenvalues ⋮ On the inverse scattering from anisotropic periodic layers and transmission eigenvalues ⋮ On isotropic cloaking and interior transmission eigenvalue problems ⋮ The imaging of small perturbations in an anisotropic media ⋮ The interior transmission eigenvalue problem for an anisotropic medium by a partially coated boundary ⋮ On Electromagnetic Scattering from a Penetrable Corner ⋮ Boundary integral equations for the transmission eigenvalue problem for Maxwell's equations ⋮ On the regularity of non-scattering anisotropic inhomogeneities ⋮ On the Discreteness of Transmission Eigenvalues for the Maxwell Equations ⋮ A note on transmission eigenvalues in electromagnetic scattering theory ⋮ Inverse spectral problems of transmission eigenvalue problem for anisotropic media with spherical symmetry assumptions ⋮ The factorization method for inverse acoustic scattering by a penetrable anisotropic obstacle ⋮ On the use of \(T\)-coercivity to study the interior transmission eigenvalue problem ⋮ Some results on electromagnetic transmission eigenvalues ⋮ Homogenization of the transmission eigenvalue problem for periodic media and application to the inverse problem

This page was built for publication: On the interior transmission eigenvalue problem