Essential self-adjointness and self-adjointness for even order elliptic operators

DOI10.1017/S0308210500031759zbMath0535.35018MaRDI QIDQ3319104

Nguyen Xuan Dung

Publication date: 1982

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

zbMATH Keywords

essential self-adjointnessself-adjointnesseven order elliptic operators

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Scattering theory for PDEs (35P25) Linear symmetric and selfadjoint operators (unbounded) (47B25) Higher-order elliptic equations (35J30)

Related Items (7)

On the closedness and self-adjointness of 3 × 3 operator matrices and application to a non-relativistic three-channel potential scattering model ⋮ Self-adjointness, \(m\)-accretivity, and separability for perturbations of Laplacian and bi-Laplacian on Riemannian manifolds ⋮ Inequalities and separation for covariant Schrödinger operators ⋮ Essential self‐adjointness of perturbed quadharmonic operators on Riemannian manifolds with an application to the separation problem ⋮ Kernels of elliptic operators: bounds and summability ⋮ Essential self-adjointness for covariant tri-harmonic operators on manifolds and the separation problem ⋮ Essential self-adjointness of perturbed biharmonic operators via conformally transformed metrics

Cites Work

• Functional analysis and partial differential equations. II
• Self-adjointness of higher-order elliptic integrals
• The essential self-adjointness of Schrödinger-type operators
• Essential self-adjointness of Schrödinger-type operators
• Über die Selbstadjungiertheit von Schrödinger-Operatoren
• Self-adjointness of powers of elliptic operators on non-compact manifolds
• Essential self-adjointness of powers of generators of hyperbolic equations
• Inequalities and separation for Schrödinger type operators in L₂(Rⁿ)
• SELFADJOINTNESS CONDITIONS FOR STRONGLY ELLIPTIC SYSTEMS OF ARBITRARY ORDER
• On the essential self-adjointness of powers of Schrödinger-type operators
• Dirichlet and separation results for Schrödinger-type operators
• The essential self-adjointness of differential operators

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