Analysis of the quadratic term in the backscattering transformation

DOI10.7146/MATH.SCAND.A-15116zbMath1181.47028arXiv0801.2230OpenAlexW1797993984MaRDI QIDQ3181740

Anders Melin, Ingrid Beltiţă

Publication date: 12 October 2009

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2230

zbMATH Keywords

Taylor expansionbackscattering transformation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) Schrödinger operator, Schrödinger equation (35J10) Linear operators on function spaces (general) (47B38)

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The back-scattering problem in three dimensions ⋮ Recovery of the singularities of a potential from backscattering data in general dimension ⋮ Fixed Angle Scattering: Recovery of Singularities and Its Limitations

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