The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions

DOI10.1016/j.jfa.2021.109146zbMath1501.47013arXiv2008.08540OpenAlexW3173198119MaRDI QIDQ2042706

Yanyan Li

Publication date: 21 July 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08540

zbMATH Keywords

regularity theorytransmission problemWeyl lawcomplementing conditions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Spectrum, resolvent (47A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Electromagnetic theory (general) (78A25) Scattering theory of linear operators (47A40)

Related Items (6)

Singularities almost always scatter: Regularity results for non‐scattering inhomogeneities ⋮ The Weyl Law of Transmission Eigenvalues and the Completeness of Generalized Transmission Eigenfunctions without Complementing Conditions ⋮ Local well-posedness of the 1d compressible Navier-Stokes system with rough data ⋮ On the regularity of non-scattering anisotropic inhomogeneities ⋮ Weyl formula for the eigenvalues of the dissipative acoustic operator ⋮ A perturbation problem for transmission eigenvalues

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