Self†adjointness of perturbed biharmonic operators on Riemannian manifolds

Ognjen Milatovic

Mathematische Nachrichten, 2017, vol. 290, issue 17-18, 2948-2960

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.

Date: 2017
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