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Stability estimates in inverse scattering

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Publication:1200447
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zbMath0756.35116MaRDI QIDQ1200447

Alexander G. Ramm

Publication date: 16 January 1993

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)


zbMATH Keywords

algorithmnoisy discrete fixed energy data


Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Numerical methods for ill-posed problems for integral equations (65R30)


Related Items (11)

Depth sounding: An illustration of some of the pitfalls of inverse scattering problems ⋮ Completeness of the set of scattering amplitudes ⋮ Inverse scattering problem with data at fixed energy and fixed incident direction ⋮ Fixed-energy inverse scattering ⋮ Numerical solution of 3D inverse scattering problems with noisy discrete fixed-energy data ⋮ Partial identification of the potential from phase shifts ⋮ Stability of the inversion of 3D fixed-frequency scattering data ⋮ Distribution of particles which produces a ``smart material ⋮ Approximation by scattering solutions and applications to inverse scattering ⋮ Fixed energy inverse scattering for noncompactly supported potentials ⋮ A numerical approach to 3-D inverse scattering problems




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