Zeitschrift für Analysis und ihre Anwendungen
Full-Text PDF (966 KB) | Metadata | Table of Contents | ZAA summary
Published online: 1999-06-30
Property C for Ordinary Differential Equations and Applications to Inverse ScatteringA.G. Ramm (1) Kansas State University, Manhattan, USA
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 prob-lems 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.
Keywords: Property C, inverse scattering, non-destructive testing, remote sensing, Sturm-Liouville equation
Ramm A.G.: Property C for Ordinary Differential Equations and Applications to Inverse Scattering. Z. Anal. Anwend. 18 (1999), 331-348. doi: 10.4171/ZAA/885