Counting function for interior transmission eigenvalues

DOI10.3934/mcrf.2016.6.167zbMath1332.35242arXiv1310.6273OpenAlexW1539361036MaRDI QIDQ907306

Luc Robbiano

Publication date: 25 January 2016

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6273

zbMATH Keywords

Weyl lawinterior transmission eigenvalues

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Boundary value problems for second-order elliptic systems (35J57)

Related Items (11)

Location and Weyl Formula for the Eigenvalues of Some Non Self-Adjoint Operators ⋮ Transmission eigenvalues for strictly concave domains ⋮ High-frequency approximation of the interior Dirichlet-to-Neumann map and applications to the transmission eigenvalues ⋮ Asymptotic expansions of transmission eigenvalues for small perturbations of media with generally signed contrast ⋮ The Weyl Law of Transmission Eigenvalues and the Completeness of Generalized Transmission Eigenfunctions without Complementing Conditions ⋮ On the Discreteness of Transmission Eigenvalues for the Maxwell Equations ⋮ Localization of the interior transmission eigenvalues for a ball ⋮ Semiclassical parametrix for the Maxwell equation and applications to the electromagnetic transmission eigenvalues ⋮ The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions ⋮ Spectral properties of the inner eigenvalues of transmission ⋮ The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations

Cites Work

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• Weyl asymptotics of the transmission eigenvalues for a constant index of refraction
• Neuer Beweis und Verallgemeinerung einiger Tauberian-Sätze
• Eigenvalue asymptotics for the non-selfadjoint operator induced by a parameter-elliptic multi-order boundary problem
• 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
• Bounds on positive interior transmission eigenvalues
• Transmission eigenvalues and the nondestructive testing of dielectrics
• Transmission Eigenvalues
• Far-Field Patterns for Acoustic Waves in an Inhomogeneous Medium
• Transmission Eigenvalues for Operators with Constant Coefficients
• Remarks on interior transmission eigenvalues, Weyl formula and branching billiards
• Spectral analysis of the interior transmission eigenvalue problem
• Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• Inverse acoustic and electromagnetic scattering theory

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