Spectral estimates for a periodic fourth-order operator

DOI10.1090/S1061-0022-2011-01164-1zbMath1230.34071arXiv0808.0588MaRDI QIDQ3093171

A. V. Badanin, Evgeny L. Korotyaev

Publication date: 12 October 2011

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

Full work available at URL: https://arxiv.org/abs/0808.0588

zbMATH Keywords

spectral asymptoticsperiodic differential operatorspectral bands

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (14)

Sharp eigenvalue asymptotics of fourth-order differential operators ⋮ Spectral asymptotics and a trace formula for a fourth-order differential operator corresponding to thin film equation ⋮ On the spectral properties of a fourth-order self-adjoint operator ⋮ Spectral analysis of an even order differential operator with square integrable potential ⋮ Spectral estimates for the fourth-order differential operator with periodic coefficients ⋮ Spectral estimates for the fourth-order operator with matrix coefficients ⋮ Hill's operators with the potentials analytically dependent on energy ⋮ Sharp eigenvalue asymptotics for fourth order operators on the circle ⋮ On the asymptotics of eigenvalues of a third-order differential operator ⋮ Spectral asymptotics for the third order operator with periodic coefficients ⋮ Spectral analysis of a fourth order differential operator with periodic and antiperiodic boundary conditions ⋮ Method of similar operators in spectral analysis of a fourth-order nonself-adjoint operator ⋮ Spectral analysis of a fourth-order nonselfadjoint operator with nonsmooth coefficients ⋮ On spectral properties of fourth order differential operator with periodic and semiperiodic boundary conditions

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