Discreteness of interior transmission eigenvalues revisited

DOI10.1007/s00526-017-1143-7zbMath1375.35289arXiv1610.06961OpenAlexW2543300175MaRDI QIDQ526956

Yong-Cai Geng, Sumit K. Garg

Publication date: 15 May 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.06961

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Waves and radiation in optics and electromagnetic theory (78A40) Variational methods for eigenvalues of operators (49R05) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (8)

Cloaking using complementary media for electromagnetic waves ⋮ On trajectories of complex-valued interior transmission eigenvalues ⋮ Inclusions of General Shapes Having Constant Field Inside the Core and NonElliptical Neutral Coated Inclusions With Anisotropic Conductivity ⋮ Local well-posedness of the 1d compressible Navier-Stokes system with rough data ⋮ Limiting absorption principle and well-posedness for the time-harmonic Maxwell equations with anisotropic sign-changing coefficients ⋮ A note on transmission eigenvalues in electromagnetic scattering theory ⋮ The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions ⋮ The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations

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