Nonlinear eigenvalue approximation for compact operators

DOI10.1063/1.4936304zbMath1328.35138arXiv1408.3289OpenAlexW2178792409MaRDI QIDQ3457181

Shari Moskow

Publication date: 10 December 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3289

zbMATH Keywords

Banach spacenonlinear eigenvalue problemscompact operatorsspectral approximation theory

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Invariant subspaces of linear operators (47A15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (7)

The imaging of small perturbations in an anisotropic media ⋮ Asymptotic expansions of transmission eigenvalues for small perturbations of media with generally signed contrast ⋮ Asymptotic analysis of resonances of small volume high contrast linear and nonlinear scatterers ⋮ On the Existence and Stability of Modified Maxwell Steklov Eigenvalues ⋮ The Asymptotic of Transmission Eigenvalues for a Domain with a Thin Coating ⋮ The inverse scattering problem for a conductive boundary condition and transmission eigenvalues ⋮ Asymptotic expansions of Stekloff eigenvalues for perturbations of inhomogeneous media

Cites Work

• The perturbation of transmission eigenvalues for inhomogeneous media in the presence of small penetrable inclusions
• Corners always scatter
• The interior transmission problem
• Perturbation theory for linear operators.
• Nonlinear eigenvalues and analytic hypoellipticity
• Computing estimates of material properties from transmission eigenvalues
• The Existence of an Infinite Discrete Set of Transmission Eigenvalues
• On the use of transmission eigenvalues to estimate the index of refraction from far field data
• Asymptotic and Numerical Techniques for Resonances of Thin Photonic Structures
• Transmission Eigenvalues
• Residual Inverse Iteration for the Nonlinear Eigenvalue Problem
• Spectral Approximation for Compact Operators
• An Approximate Method for Scattering by Thin Structures
• Unnamed Item

This page was built for publication: Nonlinear eigenvalue approximation for compact operators