Hausdorff convergence and asymptotic estimates of the spectrum of a perturbed operator

DOI10.4171/ZAA/1053zbMath1016.47014MaRDI QIDQ1598244

Taras A. Mel'nyk

Publication date: 22 July 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

spectrumasymptotic estimatesdomain perturbationeigenvalue perturbation theoryfamilies of operatorsperturbed operatorsHausdorff convergence of the spectrumlow frequency convergenceself-adjoint compact operators in Hilbert spaces

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75)

Related Items (3)

Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses ⋮ Asymptotic analysis of spectral problems in thick junctions with the branched fractal structure ⋮ Spectral properties of an elliptic operator with double-contrast coefficients near a hyperplane

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