Essential spectrum of non-self-adjoint singular matrix differential operators

DOI10.1016/j.jmaa.2017.02.017zbMathNonearXiv1612.05193OpenAlexW2963079911MaRDI QIDQ517968

Orif O. Ibrogimov

Publication date: 28 March 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05193

zbMATH Keywords

Schur complementFredholm operatoressential spectrumpseudo-differential operatorapproximate inverseDouglis-Nirenberg ellipticitysingular matrix differential operator

Mathematics Subject Classification ID

Operator theory (47-XX) Quantum theory (81-XX)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Essential spectra of singular matrix differential operators of mixed order
• Analysis of the essential spectrum of singular matrix differential operators
• On the essential spectrum of MHD plasma in toroidal region
• Essential spectrum of linearized operator for MHD plasma in cylindrical region
• Spectral approximation for the linearized MHD operator in cylindrical region
• Classes of linear operators. Vol. I
• The spectrum of a linear magnetohydrodynamic model with cylindrical symmetry
• Essential spectrum of elliptic systems of pseudo-differential operators on \(L^2(\mathbb {R}^N) \oplus L^2(\mathbb {R}^N)\)
• On the essential spectrum of a class of matrix differential operators
• On the essential spectrum of a class of singular matrix differential operators. I: Quasiregularity conditions and essential self-adjointness
• 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
• The essential spectrum of a model problem in 2-dimensional magnetohydrodynamics: a proof of a conjecture by J. Descloux and G. Geymonat
• Essential spectra of singular matrix differential operators of mixed order in the limit circle case
• On the absolutely continuous spectrum of MHD plasma confined in the flat torus
• 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
• The Essential Spectrum of a Non‐Elliptic Boundary Value Problem
• The Essential Spectrum of a System of Singular Ordinary Differential Operators of Mixed Order. Part I: The General Problem and an Almost Regular Case
• 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