The spectral bound and principal eigenvalues of Schrödinger operators on Riemannian manifolds
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Publication:1847868
DOI10.1215/S0012-7094-01-11011-9zbMath1015.58008WikidataQ115240312 ScholiaQ115240312MaRDI QIDQ1847868
Publication date: 27 October 2002
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) General theory of partial differential operators (47F05) Elliptic equations on manifolds, general theory (58J05)
Related Items (8)
A spectral property of discrete Schrödinger operators with non-negative potentials ⋮ Essential selfadjointness of singular magnetic Schrödinger operators on Riemannian manifolds ⋮ Coulomb systems on Riemannian manifolds and stability of matter ⋮ New estimates for the bottom of the spectrum of Schrödinger operators ⋮ The spectrum of Schrödinger operators with positive potentials in Riemannian manifolds ⋮ The spectral bounds of the discrete Schrödinger operator ⋮ Behaviour of heat kernels of Schrödinger operators and applications to certain semilinear parabolic equations ⋮ On the essential spectrum of Schrödinger operators on Riemannian manifolds
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