Property C for ordinary differential equations and applications to inverse scattering
type: Item
instance of: scholarly article
title: Property C for ordinary differential equations and applications to inverse scattering
zbMATH Open document ID: 0935.35177
DOI: 10.4171/ZAA/885
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1999-09-02T00:00:00Z
full work available at URL: https://eudml.org/doc/48387
review text: Summary: Property C, that is, completeness of the set of products of some solutions to Sturm-Liouville equations is proved. Several uniqueness theorems for various inverse scattering problems are obtained in a very simple way with the help of property C. Two classical uniqueness results for inverse scattering problem on the half-axis and for the inverse spectral problem are proved in a very short new way. Earlier the author introduced property C for partial differential equations and used it extensively for proving uniqueness theorems for many inverse problems.
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 34L25
Mathematics Subject Classification ID: 35P25
zbMATH DE Number: 1331702
zbMATH Keywords: completeness of the set of products of some solutions to Sturm-Liouville equations
zbMATH Keywords: uniqueness
zbMATH Keywords: inverse scattering problems
zbMATH Keywords: inverse spectral problem
author: A. G. Ramm
MaRDI profile type: Publication
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OpenAlex ID: W2013086832
description: scientific article; zbMATH DE number 1331702