Spectral analysis of a fourth order differential operator with periodic and antiperiodic boundary conditions

DOI10.1090/spmj/1417zbMath1360.34171OpenAlexW2504017669MaRDI QIDQ2817035

Dmitry M. Polyakov

Publication date: 29 August 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1417

zbMATH Keywords

eigenvaluesspectral propertiesoperator semigroupspectrum asymptoticssimilar operators

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (11)

Spectral asymptotics of two-term even order operators with involution ⋮ Sharp eigenvalue asymptotics of fourth-order differential operators ⋮ The matrix analysis of spectral projections for the perturbed self-adjoint operators ⋮ A one-dimensional Schrödinger operator with square-integrable potential ⋮ Eigenvalue asymptotics and a trace formula for a fourth-order differential operator ⋮ Spectral asymptotics and a trace formula for a fourth-order differential operator corresponding to thin film equation ⋮ Spectral estimates for the fourth-order differential operator with periodic coefficients ⋮ Spectral estimates for the fourth-order operator with matrix coefficients ⋮ Formula for regularized trace of a second order differential operator with involution ⋮ On the asymptotics of eigenvalues of a third-order differential operator ⋮ Spectral properties of an even-order differential operator

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