Self-adjointness of Schrödinger-type operators with locally integrable potentials on manifolds of bounded geometry

DOI10.1016/j.jmaa.2004.03.058zbMath1060.58023OpenAlexW2041990807MaRDI QIDQ596744

Ognjen Milatovic

Publication date: 10 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.058

zbMATH Keywords

self-adjointnessKato's inequalitymanifolds with bounded geometrySchrödinger operators on manifolds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (4)

Path integrals and the essential self-adjointness of differential operators on noncompact manifolds ⋮ Essential selfadjointness of singular magnetic Schrödinger operators on Riemannian manifolds ⋮ An explicit upper bound of the number of negative eigenvalues associated to an elliptic operator ⋮ Two realizations of Schrödinger operators on Riemannian manifolds

Cites Work

• Self-adjoint operators
• Partial differential equations. 2: Qualitative studies of linear equations
• Schrödinger operators with singular potentials
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