Regular boundary value problems for the Dirac operator

DOI10.1134/S106456242003014XzbMath1486.34167MaRDI QIDQ2243745

Alexander S. Makin

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirac operatorspectral expansionregular boundary conditions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (4)

Solution algorithm of the inverse spectral problem for Dirac operator with a spectral parameter in the boundary condition ⋮ Criterion of Bari basis property for 2 × 2 Dirac‐type operators with strictly regular boundary conditions ⋮ Asymptotics in the spectral parameter for solutions of \(2 \times 2\) systems of ordinary differential equations ⋮ Stability of spectral characteristics of boundary value problems for \(2 \times 2\) Dirac type systems: applications to the damped string

Cites Work

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• Riesz bases consisting of root functions of 1D Dirac operators
• Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions
• Instability zones of periodic 1-dimensional Schrödinger and Dirac operators

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