On the essential self-adjointness of the Schrödinger operator on complete Riemannian manifolds

DOI10.1007/BF01209558zbMath0818.58047WikidataQ115393903 ScholiaQ115393903MaRDI QIDQ1337877

V. Pereyra

Publication date: 16 November 1994

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorRiemannian manifoldself-adjointness

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (13)

Obituary: Mikhail Shubin (1944--2020) ⋮ On the semi-classical spectrum of an integrable system of dymension 1 around a hyperbolic singularity ⋮ First order Feynman-Kac formula ⋮ Essential self-adjointness for combinatorial Schrödinger operators. II. Metrically non complete graphs ⋮ Essential self-adjointness of magnetic Schrödinger operators on locally finite graphs ⋮ Essential self-adjointness for combinatorial Schrödinger operators. III: Magnetic fields ⋮ Intertwining relations for one-dimensional diffusions and application to functional inequalities ⋮ On self-adjointness of a Schrödinger operator on differential forms ⋮ A Sears-type self-adjointness result for discrete magnetic Schrödinger operators ⋮ Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds ⋮ Selfadjointness of elliptic differential operators in $L_2(G)$, and correction potentials ⋮ Self-adjoint extensions of differential operators on Riemannian manifolds ⋮ Essential self-adjointness of perturbed biharmonic operators via conformally transformed metrics

Cites Work

• Analysis of the Laplacian on a complete Riemannian manifold
• Isoperimetric inequalities on curved surfaces
• Essential self-adjointness of powers of generators of hyperbolic equations
• A special Stoke's theorem for complete Riemannian manifolds
• Note on the Uniqueness of the Green'S Functions Associated With Certain Differential Equations
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