An expanded Phillips theory and its application to differential operators

DOI10.1016/j.jfa.2004.05.010zbMath1065.47005OpenAlexW1971047826MaRDI QIDQ1779213

Guangsheng Wei, Zong Ben Xu

Publication date: 1 June 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.05.010

zbMATH Keywords

Friedrichs extensionexpanded Phillips theoryexpanded space of the abstract boundary spacemaximal accretive extension

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Dilations, extensions, compressions of linear operators (47A20) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (1)

Friedrichs extensions of a class of singular Hamiltonian systems

Cites Work

• On the extension problem for accretive differential operators
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• Sturmian theory for ordinary differential equations
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• Spektraltheorie halbbeschränkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren. I
• Positive self-adjoint operators generated by products of differential expressions
• The Friedrichs extension of singular differential operators
• On the extension problem for dissipative operators
• The Friedrichs extension of certain singular differential operators
• Maximal Accretive Realizations of Regular Sturm-Liouville Differential Operators
• Dissipative Hyperbolic Systems
• Dissipative Operators and Hyperbolic Systems of Partial Differential Equations
• Dissipative operators and parabolic partial differential equations
• On the Integration of the Diffusion Equation With Boundary Conditions
• The Friedrichs extension of regular ordinary differential operators
• Characterizations of the Friedrichs Extensions of Singular Sturm–Liouville Expressions
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• A Characterization of the Friedrichs Extension of Sturm-Liouville Operators
• Self-adjoint domains of products of differential expressions
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