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

DOI10.1017/S0308210506000576zbMath1158.47028OpenAlexW2141084461MaRDI QIDQ5452116

Igor Lelyavin, Serguei Naboko, Pavel Kurasov

Publication date: 20 March 2008

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210506000576

zbMATH Keywords

essential spectrumself-adjoint extensionquasiregularitysingular matrix differential operator of mixed order

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) Weyl theory and its generalizations for ordinary differential equations (34B20) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (5)

Trace formulas for additive and non-additive perturbations ⋮ Detectable subspaces and inverse problems for Hain-Lüst-type operators ⋮ Analysis of the essential spectrum of singular matrix differential operators ⋮ Schur complement dominant operator matrices ⋮ Essential spectrum of non-self-adjoint singular matrix differential operators

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