Transmission eigenvalue-free regions
arXiv:1401.1627 · doi:10.1007/s00220-015-2311-2
Abstract
We obtain large regions free of eigenvalues of the interior transmission problem.
25 pages, some corrections are made
References in corpus (7)
- Spectral analysis on interior transmission eigenvalues
- Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem
- Remarks on interior transmission eigenvalues, Weyl formula and branching billiards
- Bounds on positive interior transmission eigenvalues
- Transmission Eigenvalues in One Dimension
- Upper bound for the counting function of interior transmission eigenvalues
- Weyl asymptotics of the transmission eigenvalues for a constant index of refraction
Cited by in corpus (5)
- The Spectral Analysis of the Interior Transmission Eigenvalue Problem for Maxwell's Equations
- Weyl formula for the negative dissipative eigenvalues of Maxwell's equations
- Interior transmission eigenvalue problems on compact manifolds with boundary conductivity parameters
- High-frequency approximation of the interior dirichlet-to-neumann map and applications to the transmission eigenvalues
- Localization of the interior transmission eigenvalues for a ball