On -accretive Schrödinger-type operators with singular potentials on manifolds of bounded geometry.
Self-adjointness of Schrödinger-type operators with singular potentials on manifolds of bounded geometry.
A property of Sobolev spaces on complete Riemannian manifolds.
On -sectorial Schrödinger-type operators with singular potentials on manifolds of bounded geometry
We consider a Schrödinger-type differential expression , where is a -bounded Hermitian connection on a Hermitian vector bundle of bounded geometry over a manifold of bounded geometry with metric and positive -bounded measure , and is a locally integrable section of the bundle of endomorphisms of . We give a sufficient condition for -sectoriality of a realization of in . In the proof we use generalized Kato’s inequality as well as a result on the positivity of satisfying the...
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