Discreteness of Transmission Eigenvalues via Upper Triangular Compact Operators

From MaRDI portal
Publication:2882320

DOI10.1137/110836420zbMath1238.81172arXiv1104.4336OpenAlexW2041390660MaRDI QIDQ2882320

John Sylvester

Publication date: 4 May 2012

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

Full work available at URL: https://arxiv.org/abs/1104.4336




Related Items (37)

On local and global structures of transmission eigenfunctions and beyondThe spectral analysis of the interior transmission eigenvalue problem for Maxwell's equationsTransmission eigenvalue problem for inhomogeneous absorbing media with mixed boundary conditionLimiting absorption principle and well-posedness for the Helmholtz equation with sign changing coefficientsMathematics of Hybrid Imaging: A Brief ReviewBilaplacian problems with a sign-changing coefficientWeyl Type Bound on Positive Interior Transmission EigenvaluesInterface with weakly singular points always scatterSampling methods for reconstructing the geometry of a local perturbation in unknown periodic layersThe generalized linear sampling and factorization methods only depends on the sign of contrast on the boundarySharp Weyl Law for Signed Counting Function of Positive Interior Transmission EigenvaluesSurface integral formulation of the interior transmission problemAsymptotic expansions of transmission eigenvalues for small perturbations of media with generally signed contrastOn vanishing and localizing of transmission eigenfunctions near singular points: a numerical studyThe Weyl Law of Transmission Eigenvalues and the Completeness of Generalized Transmission Eigenfunctions without Complementing ConditionsA note on Sylvester's proof of discreteness of interior transmission eigenvaluesA boundary integral equation method for the transmission eigenvalue problemCounting function for interior transmission eigenvaluesBoundary integral equations for the transmission eigenvalue problem for Maxwell's equationsWeyl asymptotics of the transmission eigenvalues for a constant index of refractionRellich type theorems for unbounded domainsOn the Discreteness of Transmission Eigenvalues for the Maxwell EquationsAcoustic scattering from corners, edges and circular conesNew interior transmission problem applied to a single Floquet–Bloch mode imaging of local perturbations in periodic mediaA duality between scattering poles and transmission eigenvalues in scattering theoryDiscreteness of interior transmission eigenvalues revisitedDiscreteness of Transmission Eigenvalues for Higher-Order Main Terms and PerturbationsSolvability of interior transmission problem for the diffusion equation by constructing its Green functionThe Generalized Linear Sampling Method for Limited Aperture MeasurementsThe Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctionsElectromagnetic interior transmission eigenvalue problem for an inhomogeneous medium with a conductive boundarySpectral properties of the inner eigenvalues of transmissionThe completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equationsA perturbation problem for transmission eigenvaluesUniqueness in determining refractive indices by formally determined far-field dataSurface-Localized Transmission Eigenstates, Super-resolution Imaging, and Pseudo Surface Plasmon ModesIdentifying defects in an unknown background using differential measurements







This page was built for publication: Discreteness of Transmission Eigenvalues via Upper Triangular Compact Operators