On m-accretive Schrödinger-type operators with singular potentials on Riemannian manifolds |
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Authors: | Ognjen Milatovic |
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Institution: | Department of Mathematics and Statistics, University of North Florida, Jacksonville, FL 32224, USA |
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Abstract: | We consider a Schrödinger-type differential expression HV=∇∗∇+V, where ∇ is a Hermitian connection on a Hermitian vector bundle E over a complete Riemannian manifold (M,g) with metric g and positive smooth measure dμ, and V is a locally integrable section of the bundle of endomorphisms of E. We give a sufficient condition for m-accretivity of a realization of HV in L2(E). |
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Keywords: | 58J50 |
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