Self‐adjointness of perturbed biharmonic operators on Riemannian manifolds

DOI10.1002/mana.201600386zbMath1386.58008OpenAlexW2619719564WikidataQ115405862 ScholiaQ115405862MaRDI QIDQ4601811

Ognjen Milatovic

Publication date: 24 January 2018

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201600386

zbMATH Keywords

perturbationRiemannian manifoldbiharmonic operatorself-adjointnessBochner-Laplacian

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) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

Self-adjointness, \(m\)-accretivity, and separability for perturbations of Laplacian and bi-Laplacian on Riemannian manifolds ⋮ Self-adjointness of perturbed bi-Laplacians on infinite graphs ⋮ Essential self‐adjointness of perturbed quadharmonic operators on Riemannian manifolds with an application to the separation problem ⋮ Essential self-adjointness for covariant tri-harmonic operators on manifolds and the separation problem ⋮ Essential self-adjointness of perturbed biharmonic operators via conformally transformed metrics

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