Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893950 | Journal of Geometry and Physics | 2006 | 11 Pages |
Abstract
We consider a Schrödinger differential expression L=ΔM+q on a complete Riemannian manifold (M,g)(M,g) with metric g , where ΔM is the scalar Laplacian on M and q≥0q≥0 is a locally square integrable function on M. In the terminology of Everitt and Giertz, the differential expression L is said to be separated in L2(M)L2(M) if for all u∈L2(M)u∈L2(M) such that Lu∈L2(M)Lu∈L2(M), we have qu∈L2(M)qu∈L2(M). We give sufficient conditions for L to be separated in L2(M)L2(M).
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ognjen Milatovic,