Analysis of the essential spectrum of singular matrix differential operators

DOI10.1016/j.jde.2015.10.050zbMath1328.47008arXiv1512.00759OpenAlexW2182560522MaRDI QIDQ898579

Christiane Tretter, Petr Siegl, Orif O. Ibrogimov

Publication date: 18 December 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00759

zbMATH Keywords

Schur complementessential spectrummagnetohydrodynamicsoperator matrixstellar equilibrium modelsystem of singular differential equations

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05) Perturbation theory of linear operators (47A55) Hydrodynamic stability (76E99)

Related Items

Essential spectrum of elliptic systems of pseudo-differential operators on \(L^2(\mathbb {R}^N) \oplus L^2(\mathbb {R}^N)\), Maximal \(L^p\)-regularity and \(H^\infty\)-calculus for block operator matrices and applications, Schur complement dominant operator matrices, Essential spectrum of non-self-adjoint singular matrix differential operators

Cites Work

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• Essential spectra of singular matrix differential operators of mixed order
• Hilbert space operators in quantum physics
• Essential spectrum of linearized operator for MHD plasma in cylindrical region
• Floquet theory for left-definite Sturm-Liouville problems
• Perturbation theory for linear operators.
• Essential spectra of coupled systems of differential equations and applications in hydrodynamics
• Essential spectrum of a system of singular differential operators and the asymptotic Hain–Lüst operator
• 𝑅-functions—analytic functions mapping the upper halfplane into itself
• Systems of Singular Differential Operators of Mixed Order and Applications to 1 - Dimensional MHD Problems
• The essential spectrum of a system of singular ordinary differential operators of mixed order. Part III: A strongly singular case
• The Essential Spectrum of Some Matrix Operators
• The spectrum of adiabatic stellar oscillations
• Spectral Properties of a Multiplication Operator
• Essential Spectrum Due to Singularity
• Essential spectrum of systems of singular differential equations
• On the essential spectrum of a class of singular matrix differential operators. II. Weyl's limit circles for the Hain–Lüst operator whenever quasi-regularity conditions are not satisfied
• Criteria for Discrete Spectrum of Singular Selfadjoint Differential Operators
• The radius of the essential spectrum