Location of eigenvalues for the wave equation with dissipative boundary conditions
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Publication:338607
DOI10.3934/ipi.2016034zbMath1372.35202arXiv1504.06408OpenAlexW4300173236MaRDI QIDQ338607
Publication date: 7 November 2016
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.06408
Asymptotic distributions of eigenvalues in context of PDEs (35P20) Wave equation (35L05) Scattering theory of linear operators (47A40)
Related Items (5)
Location and Weyl Formula for the Eigenvalues of Some Non Self-Adjoint Operators ⋮ High-frequency approximation of the interior Dirichlet-to-Neumann map and applications to the transmission eigenvalues ⋮ Asymptotic of the dissipative eigenvalues of Maxwell’s equations ⋮ Weyl formula for the negative dissipative eigenvalues of Maxwell's equations ⋮ Weyl formula for the eigenvalues of the dissipative acoustic operator
Cites Work
- Transmission eigenvalues for strictly concave domains
- Spectral problems for non-elliptic symmetric systems with dissipative boundary conditions
- Asymptotics of the number of the interior transmission eigenvalues
- Scattering theory for dissipative hyperbolic systems
- Asymptotics of the number of Rayleigh resonances
- Resonances near the real axis for transparent obstacles
- Transmission eigenvalue-free regions
- ASYMPTOTICS OF THE NUMBER OF RESONANCES IN THE TRANSMISSION PROBLEM
- Scattering Problems for Symmetric Systems with Dissipative Boundary Conditions
- High frequency asymptotics for the scattering matrix and the inverse problem of acoustical scattering
- Weyl law for semi-classical resonances with randomly perturbed potentials
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