The Weyl Law of Transmission Eigenvalues and the Completeness of Generalized Transmission Eigenfunctions without Complementing Conditions

DOI10.1137/22m1486157arXiv2301.05851OpenAlexW4317543803MaRDI QIDQ6137603

Jean Fornerod, Hoai-Minh Nguyen

Publication date: 4 September 2023

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

Full work available at URL: https://arxiv.org/abs/2301.05851

zbMATH Keywords

completenessHilbert-Schmidt operatorsregularity theorycounting functiongeneralized eigenfunctionsWeyl lawinverse scatteringtransmission eigenvalue problemCauchy's problem

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)

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