Completeness of generalized transmission eigenstates

DOI10.1088/0266-5611/29/10/104002zbMath1294.35042arXiv1307.4863OpenAlexW2951348271MaRDI QIDQ5406710

Lassi Päivärinta, Eemeli Blåsten

Publication date: 2 April 2014

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4863

zbMATH Keywords

completenessinterior transmission problemgeneralized eigenstateparameter-elliptic operator pencilPhragmén--Lindelöf principle

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Boundary value problems for second-order elliptic systems (35J57)

Related Items (8)

On vanishing near corners of transmission eigenfunctions ⋮ Sharp Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues ⋮ On the Existence and Stability of Modified Maxwell Steklov Eigenvalues ⋮ Radiating and non-radiating sources in elasticity ⋮ Discreteness of interior transmission eigenvalues revisited ⋮ The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions ⋮ Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems ⋮ On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications

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