Interior transmission eigenvalue problem for Maxwell's equations: the T -coercivity as an alternative approach

DOI10.1088/0266-5611/28/6/065005zbMath1243.78024OpenAlexW2044291642MaRDI QIDQ2898415

Lucas Chesnel

Publication date: 11 July 2012

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

Full work available at URL: https://doi.org/10.1088/0266-5611/28/6/065005

zbMATH Keywords

scatteringeigenvalue problemMaxwell's equationsanalytic Fredholm theoremcoercivity methodFaber-Krahn-type inequalities

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Scattering theory for PDEs (35P25) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Diffraction, scattering (78A45) Maxwell equations (35Q61)

Related Items (11)

The spectral analysis of the interior transmission eigenvalue problem for Maxwell's equations ⋮ Analysis and computation of the transmission eigenvalues with a conductive boundary condition ⋮ Error estimates of the finite element method for interior transmission problems ⋮ The interior transmission eigenvalue problem for an anisotropic medium by a partially coated boundary ⋮ Boundary integral equations for the transmission eigenvalue problem for Maxwell's equations ⋮ Modified Electromagnetic Transmission Eigenvalues in Inverse Scattering Theory ⋮ The interior inverse electromagnetic scattering for an inhomogeneous cavity ⋮ On the Discreteness of Transmission Eigenvalues for the Maxwell Equations ⋮ Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility ⋮ Electromagnetic interior transmission eigenvalue problem for an inhomogeneous medium with a conductive boundary ⋮ The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations

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