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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


IMPACT FACTOR increased in 2014: 0.880
Rank 74 out of 310 in category Mathematics and 113 out of 255 in Applied Mathematics in the 2014 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR): 0.466
Source Normalized Impact per Paper (SNIP): 1.251

Mathematical Citation Quotient 2013: 0.51

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Inverse scattering problem for two-dimensional Schrödinger operator

V. Serov / L. Päivärinta

Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, FIN-90014, Oulu, Finland. E-mail:

Department of Mathematics, University of Helsinki, P.O. Box 4, FIN-00014, Helsinki, Finland. E-mail:

Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 14, Issue 3, Pages 295–305, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939406777340946,

Publication History

Published Online:

This work deals with the inverse scattering problem for two-dimensional Schrödinger operator. The following problem is studied: To estimate more accurately first nonlinear term from the Born series which corresponds to the scattering data with all energies and all angles in the scattering amplitude. This estimate allows us to conclude that the singularities and the jumps of the unknown potential can be obtained exactly by the Born approximation. Especially, for the potentials from L p-spaces the approximation agrees with the true potential up to the continuous function.

Citing Articles

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[2]
VALERIY SEROV
Modern Physics Letters B, 2008, Volume 22, Number 23, Page 2257
[4]
Valery Serov and Markus Harju
Journal of Mathematical Physics, 2007, Volume 48, Number 8, Page 083512

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