Dirichlet and separation results for Schrödinger-type operators

DOI10.1017/S0308210500010180zbMath0397.47022MaRDI QIDQ4180830

W. Desmond Evans, Anton Zettl

Publication date: 1978

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

zbMATH Keywords

Dirichlet PropertyMaximal Operator for Formally Self-Adjoint Differential OperatorsSeparation Property

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General theory of partial differential operators (47F05)

Related Items (14)

Separation of the Sturm--Liouville differential operator with an operator potential ⋮ Concentration of eigenfunctions of Schrödinger operators ⋮ On the smoothness of solutions of the third order nonlinear differential equation ⋮ Non-accretive Schrödinger operators and exponential decay of their eigenfunctions ⋮ Inequalities and separation for covariant Schrödinger operators ⋮ Essential self‐adjointness of perturbed quadharmonic operators on Riemannian manifolds with an application to the separation problem ⋮ Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials ⋮ Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group ⋮ Existence and uniqueness of the solution, separation for certain second order elliptic differential equation ⋮ Essential self-adjointness and self-adjointness for even order elliptic operators ⋮ Weighted Estimates for Solutions of the General Sturm-Liouville Equation and the Everitt-Giertz Problem. I ⋮ Inequalities and separation for Schrödinger type operators in L₂(Rⁿ) ⋮ On separability of non-linear Schrodinger operators with matrix potentials ⋮ Essential self-adjointness for covariant tri-harmonic operators on manifolds and the separation problem

Cites Work

• Unnamed Item
• The essential self-adjointness of Schrödinger-type operators
• Some remarks on a separation and limit-point criterion of second-order, ordinary differential expressions
• Schrödinger operators with singular potentials
• Self-adjointness for strongly singular potentials with \(a - {| x |}^2\) fall-off at infinity
• 11.—Limit-n Criteria of Integral Type
• On the essential self-adjointness of powers of Schrödinger-type operators
• A Limit-Point Criterion for Expressions with Intermittently Positive Coefficients
• Inequalities and Separation for Certain Ordinary Differential Operators

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