The essential self-adjointness of differential operators

DOI10.1017/S0308210500011264zbMath0403.35030OpenAlexW2314017589MaRDI QIDQ4188161

R. G. Keller

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1017/s0308210500011264

zbMATH Keywords

Essential Self-AdjointnessElliptic Operations

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Higher-order elliptic equations (35J30)

Related Items (3)

Decoupling of deficiency indices and applications to Schrödinger-type operators with possibly strongly singular potentials ⋮ Essential self-adjointness and self-adjointness for even order elliptic operators ⋮ The essential self-adjointness of differential operators with positive coefficients

Cites Work

• Uniqueness of the self-adjoint extension of singular elliptic differential operators
• The essential self-adjointness of Schrödinger-type operators
• On essential self-adjointness for singular elliptic differential operators
• Ideals of topological rings S\(_\nabla\)
• Schrödinger operators with singular potentials
• On the Deficiency Indices of Powers of Real 2nth -Order Symmetric Differential Expressions
• Interval Limit-Point Criteria for Differential Expressions and their Powers
• The essential self-adjointness of differential operators with positive coefficients
• On the Limit-Point Classification of Fourth-Order Differential Equations
• Limit Point Criteria for Differential Equations
• On Non-Integrable Square Solutions of a Fourth-Order Differential Equation and the Limit-2 Classification

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