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2008 Energy dependent inverse scattering on the line
Yutaka Kamimura
Differential Integral Equations 21(11-12): 1083-1112 (2008).

Abstract

We give a complete solution to the inverse scattering problem for the energy dependent Schrödinger equation on the full line when there are no bound states. This solution characterizes the image of the energy dependent scattering transform, generalizes the Deift-Trubowitz theorem for the standard Schrödinger equation in the absence of bound states, and indicates clearly the inverse transform by a simple inversion formula.

Citation

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Yutaka Kamimura. "Energy dependent inverse scattering on the line." Differential Integral Equations 21 (11-12) 1083 - 1112, 2008.

Information

Published: 2008
First available in Project Euclid: 14 December 2012

zbMATH: 1224.81017
MathSciNet: MR2482498

Subjects:
Primary: 81U40
Secondary: 34A55, 34L25

Rights: Copyright © 2008 Khayyam Publishing, Inc.

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Vol.21 • No. 11-12 • 2008
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