On the Existence and Stability of Modified Maxwell Steklov Eigenvalues
DOI10.1137/22m1509266zbMath1527.35190arXiv2207.06498OpenAlexW4387340802MaRDI QIDQ6083937
Publication date: 31 October 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.06498
existence of eigenvaluesinverse scatteringSteklov eigenvaluesMaxwell's equationstability of eigenvalues
General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Inverse problems for PDEs (35R30) PDEs with low regular coefficients and/or low regular data (35R05) Asymptotic analysis in optics and electromagnetic theory (78M35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The perturbation of transmission eigenvalues for inhomogeneous media in the presence of small penetrable inclusions
- A qualitative approach to inverse scattering theory
- Classes of linear operators. Vol. I
- The spectral analysis of the interior transmission eigenvalue problem for Maxwell's equations
- Mathematical foundations of computational electromagnetism
- On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
- Approximation of the inverse scattering Steklov eigenvalues and the inverse spectral problem
- Existence and stability of electromagnetic Stekloff eigenvalues with a trace class modification
- Asymptotic expansions of Stekloff eigenvalues for perturbations of inhomogeneous media
- Asymptotic expansions of transmission eigenvalues for small perturbations of media with generally signed contrast
- Stekloff Eigenvalues in Inverse Scattering
- Inverse Scattering Theory and Transmission Eigenvalues
- The Linear Sampling Method in Inverse Electromagnetic Scattering
- The Existence of an Infinite Discrete Set of Transmission Eigenvalues
- Transmission Eigenvalues for Elliptic Operators
- On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 3: Sensitivity to Coefficients
- 5. Eigenvalue problems in inverse electromagnetic scattering theory
- Nonlinear eigenvalue approximation for compact operators
- A local compactness theorem for Maxwell's equations
- Electromagnetic Stekloff Eigenvalues in Inverse Scattering
- Modified transmission eigenvalues in inverse scattering theory
- New sets of eigenvalues in inverse scattering for inhomogeneous media and their determination from scattering data
- Approximation in eigenvalue problems for holomorphic fredholm operator functions I
- Approximation in eigenvalue problems for holomorphic fredholm operator functions Ii (Convergence Rate)
- Finite Element Methods for Maxwell's Equations
- An inverse problem for the Helmholtz equation
- Electromagnetic Steklov eigenvalues: approximation analysis
- Convergence analysis of two finite element methods for the modified Maxwell’s Steklov eigenvalue problem
- Analysis of a Trace Class Stekloff Eigenvalue Problem Arising in Inverse Scattering
- Modified Electromagnetic Transmission Eigenvalues in Inverse Scattering Theory
- On the Discreteness of Transmission Eigenvalues for the Maxwell Equations
- Finite Element Approximation of the Modified Maxwell's Stekloff Eigenvalues
- Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains
- Spectral analysis of the interior transmission eigenvalue problem
- Completeness of generalized transmission eigenstates
- The Mathematical Theory of Finite Element Methods
- ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
- Interpolation zwischen den Klassen 𝔖p von Operatoren in Hilberträumen
- Electromagnetic Steklov eigenvalues: existence and distribution in the self-adjoint case
This page was built for publication: On the Existence and Stability of Modified Maxwell Steklov Eigenvalues
