Self-adjoint domains of products of differential expressions

DOI10.1006/JDEQ.2000.3930zbMath1011.47032OpenAlexW2091043017MaRDI QIDQ5944082

Zong Ben Xu, Guangsheng Wei

Publication date: 9 June 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3930

zbMATH Keywords

maximal operatordifferential expressionFriedrichs extensionminimal operatorpartial separationself-adjoint boundary conditions

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (5)

Positive self-adjoint operators generated by products of differential expressions ⋮ Self‐adjoint extensions for singular linear Hamiltonian systems ⋮ Friedrichs extensions of a class of discrete Hamiltonian systems with one singular endpoint ⋮ An expanded Phillips theory and its application to differential operators ⋮ Friedrichs extensions of a class of singular Hamiltonian systems

Cites Work

• The deficiency index problem for powers of ordinary differential expressions
• Symmetric differential operators and their Friedrichs extensions
• On self-adjointness of the product of two second-order differential operators
• On the Commutativity of Certain Quasidifferential Expressions I
• On the self-adjoint extensions of symmetric ordinary differential operators with middle deficiency indices
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