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Time-Dependent Methods in Inverse Scattering Theory

In: New Analytic and Geometric Methods in Inverse Problems

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  • Ricardo Weder

    (Universidad Nacional Autónoma de México, Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas)

Abstract

The time-dependent approach to inverse scattering theory is discussed and the cases of potential scattering and of the nonlinear Schrödinger equation with a potential are studied in detail. We give a time-dependent method for the unique reconstruction of the potential and in the case of the nonlinear Schrödinger equation also of the nonlinearity.

Suggested Citation

  • Ricardo Weder, 2004. "Time-Dependent Methods in Inverse Scattering Theory," Springer Books, in: Kenrick Bingham & Yaroslav V. Kurylev & Erkki Somersalo (ed.), New Analytic and Geometric Methods in Inverse Problems, pages 367-381, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-08966-8_14
    DOI: 10.1007/978-3-662-08966-8_14
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