Spectral properties of the inner eigenvalues of transmission

DOI10.5802/slsedp.61zbMath1485.35301OpenAlexW2561385169MaRDI QIDQ2067247

Luc Robbiano

Publication date: 17 January 2022

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/slsedp.61

zbMATH Keywords

interior transmission problemtransmission eigenvalues

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• Weyl asymptotics of the transmission eigenvalues for a constant index of refraction
• Asymptotics of the number of the interior transmission eigenvalues
• Counting function for interior transmission eigenvalues
• Neuer Beweis und Verallgemeinerung einiger Tauberian-Sätze
• The interior transmission problem and bounds on transmission eigenvalues
• Discreteness of Transmission Eigenvalues via Upper Triangular Compact Operators
• Ellipticity in the Interior Transmission Problem in Anisotropic Media
• The Interior Transmission Problem for Regions with Cavities
• The Existence of an Infinite Discrete Set of Transmission Eigenvalues
• Transmission Eigenvalues for Elliptic Operators
• Transmission eigenvalues and the nondestructive testing of dielectrics
• SPECTRAL SHIFT FUNCTION FOR OPERATORS WITH CROSSED MAGNETIC AND ELECTRIC FIELDS
• Transmission Eigenvalues
• Recovery of interior eigenvalues from reduced near field data
• Far-Field Patterns for Acoustic Waves in an Inhomogeneous Medium
• Transmission Eigenvalues for Operators with Constant Coefficients
• Spectral analysis of the interior transmission eigenvalue problem
• Inverse acoustic and electromagnetic scattering theory

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