Modified Electromagnetic Transmission Eigenvalues in Inverse Scattering Theory

DOI10.1137/20M134006XzbMath1455.35070arXiv2005.14277OpenAlexW3112035145MaRDI QIDQ5141946

Samuel Cogar, Peter B. Monk

Publication date: 29 December 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.14277

zbMATH Keywords

eigenvalue problemMaxwell equationsinverse scattering

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Maxwell equations (35Q61)

Related Items

Uniqueness of a spherically symmetric refractive index from modified transmission eigenvalues ⋮ Electromagnetic Steklov eigenvalues: existence and distribution in the self-adjoint case ⋮ Inside-outside duality for a class of modified transmission eigenvalues ⋮ On the Existence and Stability of Modified Maxwell Steklov Eigenvalues ⋮ Reconstruction of modified transmission eigenvalues using Cauchy data ⋮ Virtual element method for the modified transmission eigenvalue problem in inverse scattering theory ⋮ Multigrid methods for the modified elastic transmission eigenvalue problem ⋮ A spectral target signature for thin surfaces with higher order jump conditions ⋮ On the modified transmission eigenvalue problem with an artificial metamaterial background ⋮ Existence and stability of electromagnetic Stekloff eigenvalues with a trace class modification ⋮ Modified transmission eigenvalues for inverse scattering in a fluid-solid interaction problem ⋮ Asymptotic expansions of Stekloff eigenvalues for perturbations of inhomogeneous media

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