Time-Dependent Methods in Inverse Scattering Theory

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

A chapter in New Analytic and Geometric Methods in Inverse Problems, 2004, pp 367-381 from Springer

Abstract: 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.

Keywords: Wave Packet; Wave Operator; Real Sense; Strong Topology; Potential Scattering (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-08966-8_14

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DOI: 10.1007/978-3-662-08966-8_14

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