NDLI: Stability of the generalised Marchenko method

Content Provider	Scilit
Author	Newton, R. G.
Copyright Year	1988
Description	Journal: Inverse Problems The potential obtained by the solution of the three-dimensional inverse scattering problem for the Schrodinger equation by means of the generalised Marchenko equation is proved to be a continuous, differentiable function of the scattering amplitude. It is also shown that if inadmissible scattering data are close to admissible data which correspond to a potential $V_{0}$, then the 'pseudopotential' constructed is close to $V_{0}$. The precise meaning of 'closeness' is established.
Related Links	http://iopscience.iop.org/article/10.1088/0266-5611/4/2/016/pdf
Ending Page	548
Page Count	8
Starting Page	541
ISSN	02665611
e-ISSN	13616420
DOI	10.1088/0266-5611/4/2/016
Journal	Inverse Problems
Issue Number	2
Volume Number	4
Language	English
Publisher	IOP Publishing
Publisher Date	1988-05-01
Access Restriction	Open
Subject Keyword	Journal: Inverse Problems Applied Mathematics Mathematical Physics Three Dimensional Scattering Amplitude Schrodinger Equation Inverse Scattering Problem
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications

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Stability of the generalised Marchenko method