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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
DOI: 10.1515/jiip-2016-0052
ISSN: 1569-3945
Appears in Collections:CIDMA - Artigos
OGTCG - Artigos

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