The Sturm-Liouville Friedrichs extension.

DOI10.1007/s10492-015-0097-3zbMath1363.47039OpenAlexW2299394227MaRDI QIDQ499019

Anton Zettl, Siqin Yao, Jiong Sun

Publication date: 29 September 2015

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144265

zbMATH Keywords

Sturm-Liouville operatorsymmetric operatorFriedrichs extension

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (8)

The Krein-von Neumann extension of a regular even order quasi-differential operator ⋮ Characterization of symmetric operators and their Friedrichs extension for singular Sturm-Liouville problems ⋮ Selfadjoint and \(m\) sectorial extensions of Sturm-Liouville operators ⋮ Spectral properties of differential-difference symmetrized operators ⋮ Friedrichs extensions of a class of discrete Hamiltonian systems with one singular endpoint ⋮ On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below ⋮ Spectral properties of ordinary differential operators admitting special decompositions ⋮ Friedrichs extensions of a class of singular Hamiltonian systems

Cites Work

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• Semi-boundedness of ordinary differential operators
• Spektraltheorie halbbeschränkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren. I
• Characterization of domains of self-adjoint ordinary differential operators. II
• The Friedrichs extension of singular differential operators
• Über die ausgezeichnete Randbedingung in der Spektraltheorie der halbbeschränkten gewöhnlichen Differentialoperatoren zweiter Ordnung
• Halbbeschränkte gewöhnliche Differentialoperatoren zweiter Ordnung
• The Friedrichs extension of regular ordinary differential operators
• Singular Sturm-Liouville Problems: The Friedrichs Extension and Comparison of Eigenvalues
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