Spectral analysis of a fourth-order nonselfadjoint operator with nonsmooth coefficients

DOI10.1134/S0037446615010140MaRDI QIDQ2352674

Dmitry M. Polyakov

Publication date: 3 July 2015

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

fourth-order differential operatorspectrum of operatormethod of similar operators

Mathematics Subject Classification ID

Operator theory (47-XX)

Related Items (11)

Sharp eigenvalue asymptotics of fourth-order differential operators ⋮ On the spectral properties of a second-order differential operator with a matrix potential ⋮ The matrix analysis of spectral projections for the perturbed self-adjoint operators ⋮ Method of similar operators in research of spectral properties of difference operators with growthing 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 ⋮ 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 ⋮ On the asymptotics of eigenvalues of a fourth-order differential operator with matrix coefficients ⋮ Spectral analysis of a fourth order differential operator with periodic and antiperiodic boundary conditions

Cites Work

• Methods of abstract harmonic analysis in the perturbation of linear operators
• Geometric theory of semilinear parabolic equations
• Oscillations of a liquid in a bounded cavity with a plate on the boundary
• Perturbation theory for linear operators.
• Spectral estimates for a periodic fourth-order operator
• A THEOREM ON SPLITTING AN OPERATOR, AND SOME RELATED QUESTIONS IN THE ANALYTIC THEORY OF PERTURBATIONS
• SPECTRAL ANALYSIS OF PERTURBED NONQUASIANALYTIC AND SPECTRAL OPERATORS
• The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials
• Instability zones of periodic 1-dimensional Schrödinger and Dirac operators
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