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Title: A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy
Author: Lakshtanov, Evgeny L.
Novikov, Roman G.
Vainberg, Boris R.
Keywords: Two-dimensional inverse scattering
Faddeev functions
Generalized Riemann-Hilbert-Manakov problem
Novikov-Veselov equation
Issue Date: Dec-2016
Publisher: Università di Trieste
Abstract: We develop the Riemann-Hilbert problem approach to in- verse scattering for the two-dimensional Schr odinger equation at xed energy. We obtain global or generic versions of the key results of this approach for the case of positive energy and compactly supported poten- tials. In particular, we do not assume that the potential is small or that Faddeev scattering solutions do not have singularities (i.e. we allow the Faddeev exceptional points to exist). Applications of these results to the Novikov-Veselov equation are also considered.
Peer review: yes
ISSN: 0049-4704
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Appears in Collections:CIDMA - Artigos
OGTCG - Artigos

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