The back-scattering problem in three dimensions

DOI10.1007/s11868-010-0021-2zbMath1278.46039OpenAlexW2052598749MaRDI QIDQ390316

Robert Lagergren

Publication date: 8 January 2014

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-010-0021-2

zbMATH Keywords

Schrödinger operatorinverse scatteringback-scattering

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

Inverse scattering problem for the high order Schrödinger operator at fixed angles scattering amplitude ⋮ Recovery of the singularities of a potential from backscattering data in general dimension ⋮ The double dispersion operator in backscattering: Hölder estimates and optimal Sobolev estimates for radial potentials ⋮ Local Smoothing for the Backscattering Transform ⋮ Inverse scattering for a random potential ⋮ Microlocal analysis of scattering data for nested conormal potentials

Cites Work

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• Formal solutions of inverse scattering problems. IV. Error estimates
• Generic Uniqueness for Two Inverse Problems in POtential Scattering
• Inverse Backscattering for the Acoustic Equation
• Partial Recovery of a Potential from Backscattering Data
• Generalized backscattering and the Lax-Phillips transform

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