On the essential self-adjointness of powers of Schrödinger-type operators

DOI10.1017/S0308210500016826zbMath0374.35014MaRDI QIDQ4152902

W. Desmond Evans

Publication date: 1977

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Second-order elliptic equations (35J15) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items

On the essential self-adjointness of powers of Schrödinger operators ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Essential self-adjointness and self-adjointness for even order elliptic operators ⋮ On the existence of minimal operators for Schrödinger-type differential expressions ⋮ Self-adjointness of Schrödinger operator and Wiener integral ⋮ Dirichlet and separation results for Schrödinger-type operators ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ On the spectra of non-self-adjoint realisations of second-order elliptic operators ⋮ A Strong Contractivity Property for Semigroups Generated by Differential Operators

Cites Work

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• Uniqueness of the self-adjoint extension of singular elliptic differential operators
• The essential self-adjointness of Schrödinger-type operators
• Schrödinger operators with singular potentials
• Essential self-adjointness of powers of generators of hyperbolic equations
• A remark to the preceding paper by Chernoff
• 11.—Limit-n Criteria of Integral Type
• Interval Limit-Point Criteria for Differential Expressions and their Powers
• A Limit-Point Criterion for Expressions with Intermittently Positive Coefficients