Transmission Eigenvalues for Operators with Constant Coefficients

DOI10.1137/100793748zbMath1257.35084arXiv1004.5105OpenAlexW2963662079MaRDI QIDQ5198440

Katsiaryna Krupchyk, Petri Ola, Lassi Päivärinta, Michael Hitrik

Publication date: 8 August 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.5105

zbMATH Keywords

Helmholtz equationscattering theorytransmission eigenvalueoperators with constant coefficients

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Boundary value problems for higher-order elliptic equations (35J40) Scattering theory for PDEs (35P25)

Related Items (9)

The inverse discrete transmission eigenvalue problem for absorbing media ⋮ Counting function for interior transmission eigenvalues ⋮ Weyl asymptotics of the transmission eigenvalues for a constant index of refraction ⋮ Rellich type theorems for unbounded domains ⋮ Continuous dependence of the transmission eigenvalues in one dimension ⋮ Discreteness of Transmission Eigenvalues for Higher-Order Main Terms and Perturbations ⋮ Solvability of interior transmission problem for the diffusion equation by constructing its Green function ⋮ Corners always scatter ⋮ Spectral properties of the inner eigenvalues of transmission

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