Essential spectrum of a system of singular differential operators and the asymptotic Hain–Lüst operator

DOI10.1090/S0002-9939-01-06239-6zbMath1044.47004MaRDI QIDQ2781340

Christiane Tretter, Serguei Naboko, Reinhard Mennicken

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

essential spectrumsingular differential operatorsasymptotic Hain-Lüst operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (9)

Complete second order linear differential operator equations in Hilbert space and applications in hydrodynamics ⋮ Detectable subspaces and inverse problems for Hain-Lüst-type operators ⋮ Analysis of the essential spectrum of singular matrix differential operators ⋮ On the absolutely continuous spectrum of block operator matrices ⋮ Bounds for the spectrum of a matrix differential operator with a damping term ⋮ Essential spectra of coupled systems of differential equations and applications in hydrodynamics ⋮ Essential spectrum of non-self-adjoint singular matrix differential operators ⋮ Essential spectra of singular matrix differential operators of mixed order ⋮ Essential spectra of singular matrix differential operators of mixed order in the limit circle case

Cites Work

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• 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
• Spectral Properties of a Multiplication Operator
• The Essential Spectrum of a System of Singular Ordinary Differential Operators of Mixed Order. Part I: The General Problem and an Almost Regular Case

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