Approximation by scattering solutions and applications to inverse scattering

DOI10.1016/0895-7177(93)90078-DzbMath0840.35073MaRDI QIDQ1309764

Alexander G. Ramm

Publication date: 4 January 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

estimates of the growth of the normscattering solution of the Schrödinger equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) PDEs in connection with quantum mechanics (35Q40)

Related Items

SOME RESULTS ON INVERSE SCATTERING ⋮ Fixed energy inverse scattering for noncompactly supported potentials

Cites Work

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• An approximation problem
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• Stability estimates in inverse scattering
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• Stability of the solution to 3D fixed-energy inverse scattering problem
• Stability of the inversion of 3D fixed-frequency scattering data
• Stability of the inverse problem in potential scattering at fixed energy
• Completeness of the products of solutions of PDE and inverse problems
• Stability of a numerical method for solving the 3 D inverse scattering problem with fixed energy data.