Analysis of a Trace Class Stekloff Eigenvalue Problem Arising in Inverse Scattering

DOI10.1137/19M1295155zbMath1436.35121OpenAlexW3015877076MaRDI QIDQ5107196

Samuel Cogar

Publication date: 17 April 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1295155

zbMATH Keywords

Laplace-Beltrami operatorinverse scatteringStekloff eigenvalue problem

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)

Related Items (10)

Electromagnetic Steklov eigenvalues: existence and distribution in the self-adjoint case ⋮ On the Existence and Stability of Modified Maxwell Steklov Eigenvalues ⋮ A spectral target signature for thin surfaces with higher order jump conditions ⋮ On an Interior Calderón Operator and a Related Steklov Eigenproblem for Maxwell's Equations ⋮ Modified Electromagnetic Transmission Eigenvalues in Inverse Scattering Theory ⋮ Approximation of the inverse scattering Steklov eigenvalues and the inverse spectral problem ⋮ Existence and stability of electromagnetic Stekloff eigenvalues with a trace class modification ⋮ Exterior Steklov eigenvalues and modified exterior Steklov eigenvalues in inverse scattering ⋮ Asymptotic expansions of Stekloff eigenvalues for perturbations of inhomogeneous media ⋮ Target signatures for thin surfaces

Uses Software

• FreeFem++

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