Ellipticity in the Interior Transmission Problem in Anisotropic Media
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Publication:2904741
DOI10.1137/11084738XzbMath1245.35126arXiv1108.5987OpenAlexW2962742655MaRDI QIDQ2904741
Boris Vainberg, Evgeny Lakshtanov
Publication date: 23 August 2012
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.5987
General topics in linear spectral theory for PDEs (35P05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (21)
An integral equation method for the Helmholtz problem in the presence of small anisotropic inclusions ⋮ The spectral analysis of the interior transmission eigenvalue problem for Maxwell's equations ⋮ Looking Back on Inverse Scattering Theory ⋮ A multi-level method for transmission eigenvalues of anisotropic media ⋮ Weyl Type Bound on Positive Interior Transmission Eigenvalues ⋮ Sharp Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues ⋮ Computing interior transmission eigenvalues for homogeneous and anisotropic media ⋮ Surface integral formulation of the interior transmission problem ⋮ The Weyl Law of Transmission Eigenvalues and the Completeness of Generalized Transmission Eigenfunctions without Complementing Conditions ⋮ A note on Sylvester's proof of discreteness of interior transmission eigenvalues ⋮ Counting function for interior transmission eigenvalues ⋮ Boundary integral equations for the transmission eigenvalue problem for Maxwell's equations ⋮ Weyl asymptotics of the transmission eigenvalues for a constant index of refraction ⋮ On the Discreteness of Transmission Eigenvalues for the Maxwell Equations ⋮ Discreteness of interior transmission eigenvalues revisited ⋮ Solvability of interior transmission problem for the diffusion equation by constructing its Green function ⋮ The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions ⋮ Electromagnetic interior transmission eigenvalue problem for an inhomogeneous medium with a conductive boundary ⋮ Spectral properties of the inner eigenvalues of transmission ⋮ The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations ⋮ Homogenization of the transmission eigenvalue problem for periodic media and application to the inverse problem
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