Title

Self-adjointness of perturbed biharmonic operators on riemannian manifolds

Document Type

Article

Publication Date

12-1-2017

Subject Area

ARRAY(0x55e2a2ba8ad0)

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

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