Essential selfadjointness of singular magnetic Schrödinger operators on Riemannian manifolds

DOI10.1016/j.jmaa.2011.09.060zbMath1235.58027OpenAlexW2013435883WikidataQ115346142 ScholiaQ115346142MaRDI QIDQ662091

Martin Kolb, Robert Grummt

Publication date: 11 February 2012

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.2011.09.060

zbMATH Keywords

Riemannian manifoldmagnetic Schrödinger operatoressential selfadjointness

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Elliptic equations on manifolds, general theory (58J05) Applications of operator theory to differential and integral equations (47N20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (15)

On a positivity preservation property for Schrödinger operators on Riemannian manifolds ⋮ Self-adjointness, \(m\)-accretivity, and separability for perturbations of Laplacian and bi-Laplacian on Riemannian manifolds ⋮ Magnetic Energies and Feynman–Kac–Itô Formulas for Symmetric Markov Processes ⋮ Path integrals and the essential self-adjointness of differential operators on noncompact manifolds ⋮ Inequalities and separation for covariant Schrödinger operators ⋮ Self‐adjointness of non‐semibounded covariant Schrödinger operators on Riemannian manifolds ⋮ Laplacian cut-offs, porous and fast diffusion on manifolds and other applications ⋮ Dirac and magnetic Schrödinger operators on fractals ⋮ \(L^{p}\)-interpolation inequalities and global Sobolev regularity results (with an appendix by Ognjen Milatović) ⋮ Heat kernels in the context of Kato potentials on arbitrary manifolds ⋮ Generalized Schrödinger semigroups on infinite graphs ⋮ Essential self-adjointness for covariant tri-harmonic operators on manifolds and the separation problem ⋮ Self-adjoint extensions of differential operators on Riemannian manifolds ⋮ Sequences of Laplacian cut-off functions ⋮ Essential self-adjointness of perturbed biharmonic operators via conformally transformed metrics

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