Characterization of symmetric operators and their Friedrichs extension for singular Sturm-Liouville problems

DOI10.1016/j.jmaa.2022.126122OpenAlexW4214774071MaRDI QIDQ831482

Guangsheng Wei, Qinglan Bao, Anton Zettl

Publication date: 23 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126122

zbMATH Keywords

differential operatorsFriedrichs extensionsboundary matricessymmetric extensions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05)

Cites Work

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• Survey article: Self-adjoint ordinary differential operators and their spectrum
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• The Friedrichs extension of singular differential operators
• Friedrichs extensions of a class of singular Hamiltonian systems
• A GKN theorem for symmetric operators
• Disconjugacy
• Singular Sturm-Liouville Problems: The Friedrichs Extension and Comparison of Eigenvalues
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• Characterization of self-adjoint domains for regular even order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>C</mml:mi> </mml:mrow> </mml:math>-symmetric differential operators

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