ASYMPTOTICS OF THE NUMBER OF RESONANCES IN THE TRANSMISSION PROBLEM

DOI10.1081/PDE-100107460zbMath1086.35012MaRDI QIDQ2778676

Fernando Cardoso, Georgi Vodev, Georgi S. Popov

Publication date: 2001

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Resonance in context of PDEs (35B34)

Related Items (11)

Location and Weyl Formula for the Eigenvalues of Some Non Self-Adjoint Operators ⋮ Sharp upper bounds on the number of the scattering poles ⋮ Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations ⋮ Location of eigenvalues for the wave equation with dissipative boundary conditions ⋮ High-frequency approximation of the interior Dirichlet-to-Neumann map and applications to the transmission eigenvalues ⋮ Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem ⋮ The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances ⋮ The quantum Sabine law for resonances in transmission problems ⋮ Acoustic transmission problems: Wavenumber-explicit bounds and resonance-free regions ⋮ Distribution of Resonances in Scattering by Thin Barriers ⋮ Boundary stabilization of transmission problems

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