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Is the Born approximation good for solving the inverse problem when the potential is small?

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Publication:917823
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DOI10.1016/0022-247X(90)90363-KzbMath0705.35153OpenAlexW2083708854MaRDI QIDQ917823

Alexander G. Ramm

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90363-k


zbMATH Keywords

scattering amplitudeinverse scatteringBorn approximation


Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10)


Related Items (2)

SOME RESULTS ON INVERSE SCATTERING ⋮ Inverse problem for the acoustic wave equation: A probabilistic approach to approximations and uniqueness



Cites Work

  • Stable solutions of some ill‐posed problems
  • Recovery of the potential from fixed-energy scattering data
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