Resolvent at low energy and Riesz transform for Schrodinger operators on asymptotically conic manifolds. II
Guillarmou, Colin; Hassell, Andrew
Description
Let Mo be a complete noncompact manifold of dimension at least 3 and g an asymptotically conic metric on Mo, in the sense that M o compactifies to a manifold with boundary M so that g becomes a scattering metric on M. We study the resolvent kernel (P + k2) -1 and Riesz transform T of the operator P - δg + V, where δg is the positive Laplacian associated to g and V is a real potential function smooth on M and vanishing at the boundary. In our first paper we assumed that P has neither zero modes...[Show more]
Collections | ANU Research Publications |
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Date published: | 2009 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/37026 |
Source: | Annales de l'Institut Fourier |
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