Inverse backscattering

DOI10.1007/BF02790363zbMath0819.35144OpenAlexW4237529375MaRDI QIDQ1333794

Gregory Eskin, J. V. Ralston

Publication date: 24 August 1995

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790363

zbMATH Keywords

scattering amplitudeweighted Hölder spacesbackscattering amplitude

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40)

Related Items (12)

Reconstruction of singularities from full scattering data by new estimates of bilinear Fourier multipliers ⋮ The back-scattering problem in three dimensions ⋮ Inverse scattering problem for the high order Schrödinger operator at fixed angles scattering amplitude ⋮ Fixed Angle Inverse Scattering for Almost Symmetric or Controlled Perturbations ⋮ Recovery of the singularities of a potential from backscattering data in general dimension ⋮ RECOVERING SINGULARITIES FROM BACKSCATTERING IN TWO DIMENSIONS ⋮ Partial Recovery of a Potential from Backscattering Data ⋮ Numerical approximation of the potential in the two-dimesional inverse scattering problem ⋮ The double dispersion operator in backscattering: Hölder estimates and optimal Sobolev estimates for radial potentials ⋮ A New Convergent Algorithm to Approximate Potentials from Fixed Angle Scattering Data ⋮ Local Smoothing for the Backscattering Transform ⋮ The fixed angle scattering problem and wave equation inverse problems with two measurements

Cites Work

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• Inverse backscattering in two dimensions
• The inverse backscattering problem in three dimensions
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Properties of the scattering map
• Inverse problem of quantum scattering theory. II
• Scattering by a Potential Using Hyperbolic Methods
• A Multidimensional Inverse-Scattering Method
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• The $ \bar\partial$-equation in the multidimensional inverse scattering problem
• Inverse scattering. II. Three dimensions
• Inverse scattering on the line

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