Self-adjointness of the minimal Schrödinger operator with potential belonging to \(L_{1,\text{loc}}\)

DOI10.1016/0034-4877(79)90016-8zbMath0415.35022OpenAlexW1976203099MaRDI QIDQ600005

Yu. B. Orochko

Publication date: 1979

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(79)90016-8

zbMATH Keywords

potentialdistributionself-adjointnessminimal Schrödinger operator

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (5)

Essential self-adjointness of second-order elliptic operator with measurable coefficients ⋮ Some properties of spectral expansions related to the one-dimensional Stark effect Hamiltonian ⋮ Hyperbolic equation method in \(L^ p\)-spaces ⋮ Theory of self-adjoint operators generated by strongly singular, second- order expression of divergence type ⋮ Finiteness of the rate of propagation of perturbations for hyperbolic equations

Cites Work

• Essential self-adjointness of Schrödinger operators with positive potentials
• Schrödinger operators with singular potentials
• The Trotter product formula for perturbations of semibounded operators
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