Some singular perturbations of periodic operators

DOI10.1007/s11232-007-0048-6zbMath1147.34060OpenAlexW2070013915MaRDI QIDQ926731

Denis I. Borisov

Publication date: 20 May 2008

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-007-0048-6

zbMATH Keywords

singular perturbationspectrumperiodic coefficientsordinary differential operator

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (8)

Scattering resonances for highly oscillatory potentials ⋮ Resonances for random highly oscillatory potentials ⋮ Oscillatory and Localized Perturbations of Periodic Structures and the Bifurcation of Defect Modes ⋮ Bound States for Rapidly Oscillatory Schrödinger Operators in Dimension 2 ⋮ Perturbations of the continuous spectrum of a certain nonlinear two-dimensional operator sheaf ⋮ Asymptotics for the solutions of elliptic systems with rapidly oscillating coefficients ⋮ Defect modes for dislocated periodic media ⋮ The bulk-edge correspondence for continuous dislocated systems

Cites Work

• The spectrum of the Schrödinger operator with a rapidly oscillating compactly supported potential
• A Short Proof of Zheludev's Theorem
• Unnamed Item

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