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A new equation of scattering theory and its use in inverse scattering

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Publication:908430
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DOI10.1016/0165-2125(89)90035-8zbMath0693.35126OpenAlexW2078473900MaRDI QIDQ908430

Brian DeFacio, James H. Rose, Margaret Cheney

Publication date: 1989

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(89)90035-8


Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)


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Cites Work

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  • A Fundamental Integral Relation of Scattering Theory
  • A rigorous derivation of the ‘‘miracle’’ identity of three-dimensional inverse scattering
  • The connection between time- and frequency-domain three-dimensional inverse scattering methods
  • Multidimensional Inverse Scattering for First-Order Systems
  • Variational principles for inverse scattering
  • Three-dimensional inverse scattering: Plasma and variable velocity wave equations
  • Inverse scattering. II. Three dimensions
  • A simple verification of the Gelfand‐Levitan equation for the three‐dimensional scattering problem
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