Self-adjointness of perturbed biharmonic operators on riemannian manifolds
Document Type
Article
Publication Date
12-1-2017
Abstract
We give a sufficient condition for the essential self-adjointness of a perturbed biharmonic-type operator acting on sections of a Hermitian vector bundle on a geodesically complete Riemannian manifold with Ricci curvature bounded from below by a (possibly unbounded) non-positive function depending on the distance from a reference point. We also establish the separation property in the case when the corresponding operator acts on functions.
Publication Title
Mathematische Nachrichten
Volume
290
Issue
17-18
First Page
2948
Last Page
2960
Digital Object Identifier (DOI)
10.1002/mana.201600386
ISSN
0025584X
E-ISSN
15222616
Citation Information
Milatovic. (2017). Self‐adjointness of perturbed biharmonic operators on Riemannian manifolds. Mathematische Nachrichten, 290(17-18), 2948–2960. https://doi.org/10.1002/mana.201600386
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