On \(m\)-accretivity of perturbed Bochner Laplacian in \(L^{p}\) spaces on Riemannian manifolds

DOI10.1007/s00020-010-1800-0zbMath1200.35068OpenAlexW1972743532WikidataQ115390055 ScholiaQ115390055MaRDI QIDQ601720

Ognjen Milatovic

Publication date: 29 October 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1800-0

zbMATH Keywords

Schrödinger operatorRiemannian manifold\(m\)-accretiveBochner Laplacianbounded geometry

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

Self-adjointness, \(m\)-accretivity, and separability for perturbations of Laplacian and bi-Laplacian on Riemannian manifolds ⋮ Inequalities and separation for covariant Schrödinger operators ⋮ The \(m\)-accretivity of covariant Schrödinger operators with unbounded drift ⋮ Maximal accretive extensions of Schrödinger operators on vector bundles over infinite graphs ⋮ \(L^{p}\)-interpolation inequalities and global Sobolev regularity results (with an appendix by Ognjen Milatović) ⋮ Sequences of Laplacian cut-off functions

Cites Work

• On \(m\)-accretive Schrödinger operators in \(L^{p}\)-spaces on manifolds of bounded geometry
• Analysis of the Laplacian on a complete Riemannian manifold
• Schrödinger operators with singular potentials
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