Transmission Eigenvalues for Elliptic Operators

DOI10.1137/110827867zbMath1233.35148arXiv1007.0503OpenAlexW2036249610MaRDI QIDQ3116296

Katsiaryna Krupchyk, Petri Ola, Michael Hitrik, Lassi Päivärinta

Publication date: 22 February 2012

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

Full work available at URL: https://arxiv.org/abs/1007.0503

zbMATH Keywords

elliptic operatortrace class operatorinterior transmission problemtransmission eigenvalue

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Higher-order elliptic equations (35J30)

Related Items (12)

The spectral analysis of the interior transmission eigenvalue problem for Maxwell's equations ⋮ Weyl Type Bound on Positive Interior Transmission Eigenvalues ⋮ Surface integral formulation of the interior transmission problem ⋮ On the Existence and Stability of Modified Maxwell Steklov Eigenvalues ⋮ Counting function for interior transmission eigenvalues ⋮ Weyl asymptotics of the transmission eigenvalues for a constant index of refraction ⋮ 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 ⋮ An inverse uniqueness on the index of refraction with a transition region ⋮ Inverse uniqueness in interior transmission problem and its eigenvalue tunneling in simple domain ⋮ Spectral properties of the inner eigenvalues of transmission ⋮ On the inverse spectral theory in a non-homogeneous interior transmission problem

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