Transmission eigenvalue-free regions near the real axis

DOI10.2140/PAA.2024.6.611zbMATH Open1540.35272MaRDI QIDQ6542412

Georgi Vodev

Publication date: 22 May 2024

Published in: Pure and Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

transmission eigenvaluesinterior transmission problems

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Cites Work

• Title not available (Why is that?)
• Discreteness of interior transmission eigenvalues revisited
• Asymptotics of the number of the interior transmission eigenvalues
• Counting function for interior transmission eigenvalues
• Distribution of resonances and local energy decay in the transmission problem. II
• The quantum Sabine law for resonances in transmission problems
• Transmission eigenvalue-free regions
• The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions
• High-frequency approximation of the interior Dirichlet-to-Neumann map and applications to the transmission eigenvalues
• Discreteness of transmission eigenvalues via upper triangular compact operators
• Ellipticity in the Interior Transmission Problem in Anisotropic Media
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Contróle Exact De Léquation De La Chaleur
• Transmission Eigenvalues
• Spectral analysis of the interior transmission eigenvalue problem
• Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem
• The Weyl Law of Transmission Eigenvalues and the Completeness of Generalized Transmission Eigenfunctions without Complementing Conditions

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