Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/18431
Title: | Recovery of L p-potential in the plane |
Author: | Lakshtanov, Evgeny Vainberg, Boris |
Keywords: | Faddeev scattering problem Inverse scattering problem |
Issue Date: | 1-Oct-2017 |
Publisher: | De Gruyter |
Abstract: | An inverse problem for the two-dimensional Schrödinger equation with Lp-potential, p>1, is considered. Using the dbar-method, the potential is recovered from the Dirichlet-to-Neumann map on the boundary of a domain containing the support of the potential. We do not assume that the potential is small or that the Faddeev scattering problem does not have exceptional points. The paper contains a new estimate on the Faddeev Green function that immediately implies the absence of exceptional points near the origin and infinity when the potential v belongs to Lp. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/18431 |
DOI: | 10.1515/jiip-2016-0052 |
ISSN: | 1569-3945 |
Appears in Collections: | CIDMA - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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genericFaddeevP37.pdf | 279.57 kB | Adobe PDF | View/Open |
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