Criterion of Bari basis property for 2 × 2 Dirac‐type operators with strictly regular boundary conditions
DOI10.1002/MANA.202200095zbMath1528.34070arXiv2202.11148OpenAlexW4382057806MaRDI QIDQ6049363
Publication date: 17 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.11148
equidistribution theoremDirac-type systemsBari basis propertydamped string equationstrictly regular boundary conditions
Initial-boundary value problems for second-order hyperbolic equations (35L20) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
Cites Work
- Unnamed Item
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- On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators
- On spectral synthesis for dissipative Dirac type operators
- A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions
- On summability of spectral expansions corresponding to the Sturm-Liouville operator
- Bari-Markus property for Dirac operators
- The Riesz basis property of generalized eigenspaces for a Dirac system with integrable potential
- The damped string problem revisited
- On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations
- Uniform asymptotics of the eigenvalues and eigenfunctions of the Dirac system with an integrable potential
- Theorem of completeness for a Dirac-type operator with generalized \(\lambda \)-depending boundary conditions
- A criterion for Hill operators to be spectral operators of scalar type
- Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
- Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators
- On the bari basis property of the eigenfunction system of a nonlinear integro-differential equation
- Basis property of eigenfunctions of nonselfadjoint operator pencils generated by the equation of nonhomogeneous damped string
- Energy decay rate of wave equations with indefinite damping
- The Riesz basis property with brackets for Dirac systems with summable potentials
- Stability of spectral characteristics of boundary value problems for \(2 \times 2\) Dirac type systems: applications to the damped string
- Bessel inequality and the basis property for a \(2m\times 2m\) Dirac type system with an integrable potential
- Regular boundary value problems for the Dirac operator
- Asymptotic behavior of solutions of the Dirac system with an integrable potential
- On the Riesz basis property of the root vector system for Dirac-type \(2\times 2\) systems
- Completeness property of one-dimensional perturbations of normal and spectral operators generated by first order systems
- The Dirac operator with complex-valued summable potential
- On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications
- Bari bases of subspaces
- Exponential bases in \(L^ 2\)
- On the asymptotic behaviour of solutions of the Dirac system and applications to the Sturm-Liouville problem with a singular potential
- Dissipative eigenvalue problems for a Sturm–Liouville operator with a singular potential
- Eigenvalue problems for a non-self-adjoint Bessel-type operators in limit-point case
- The basis property of eigenfunctions in the problem of a nonhomogeneous damped string
- Riesz basis of root vectors of a non-symmetric system of first-order ordinary differential operators and application to inverse eigenvalue problems
- Bari–Markus property for Riesz projections of 1D periodic Dirac operators
- The rate at which energy decays in a damped String
- Nonselfadjoint operators generated by the equation of a nonhomogeneous damped string
- Spectral properties and an inverse eigenvalue problem for non-symmetric systems of ordinary differential operators
- The rate at which energy decays in a string damped at one end
- Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions
- The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials
- Bessel property and basicity of the system of root vector-functions of Dirac operator with summable coefficient
- Basis properties in a problem of a nonhomogeneous string with damping at the end
- Completeness theorems for systems of differential equations
- On convergence of spectral expansions of Dirac operators with regular boundary conditions
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