``Localized self-adjointness of Schrödinger type operators on Riemannian manifolds.

DOI10.1016/S0022-247X(03)00296-8zbMath1036.58016WikidataQ115340202 ScholiaQ115340202MaRDI QIDQ1404917

Ognjen Milatovic

Publication date: 25 August 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorselfadjointnesscomplete Riemannian manifold

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Elliptic equations on manifolds, general theory (58J05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (3)

Self‐adjointness of non‐semibounded covariant Schrödinger operators on Riemannian manifolds ⋮ Kato’s inequality and form boundedness of Kato potentials on arbitrary Riemannian manifolds ⋮ Two realizations of Schrödinger operators on Riemannian manifolds

Cites Work

• A theorem on localized self-adjointness of Schrödinger operators with \(L^ 1-\)potentials
• Self-adjoint operators
• Remarks on the Schrödinger operator with singular complex potentials
• Partial differential equations. 2: Qualitative studies of linear equations
• Riemannian center of mass and mollifier smoothing
• Schrödinger operators with singular magnetic vector potentials
• Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds
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