Essential self-adjointness of Schrödinger-type operators

DOI10.1016/0022-1236(77)90032-5zbMath0346.35040OpenAlexW2076518529MaRDI QIDQ1233566

Allen Devinatz

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0022-1236(77)90032-5

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (17)

Transformations of second order ordinary and partial difierential operators ⋮ Decoupling of deficiency indices and applications to Schrödinger-type operators with possibly strongly singular potentials ⋮ Feynman propagators on static spacetimes ⋮ Gauss's theorem and the self-adjointness of Schrödinger operators ⋮ On the threshold for Kato's selfadjointness problem and its \(L^p\)-generalization ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Uniqueness for elliptic operators on with unbounded coefficients ⋮ Essential self-adjointness and self-adjointness for even order elliptic operators ⋮ Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds ⋮ On essential self-adjointness for singular elliptic differential operators ⋮ Liouville-type results and the \(C_ 0^{\infty}\)-core property for products of elliptic operators ⋮ On the existence of minimal operators for Schrödinger-type differential expressions ⋮ On an inequality of Tosio Kato for degenerate-elliptic operators ⋮ Essential selfadjointness of singular elliptic operators ⋮ Selfadjointness of elliptic differential operators in $L_2(G)$, and correction potentials ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Self-adjointness of certain second order differential operators on Riemannian manifolds

Cites Work

• Uniqueness of the self-adjoint extension of singular elliptic differential operators
• Symmetrie elliptischer Differentialoperatoren
• A criterion for self-adjointness of singular elliptic differential operators
• Schrödinger operators with singular potentials
• A Generalization of a Theorem of Wienholtz Concerning Essential Selfadjointness of Singular Elliptic Operators.
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