Weak stability for an inverse Sturm-Liouville problem with finite spectral data and complex potential

Marletta, Marco ORCID: https://orcid.org/0000-0003-1546-4046 and Weikard, Rudi 2005. Weak stability for an inverse Sturm-Liouville problem with finite spectral data and complex potential. Inverse problems 21 (4) , pp. 1275-1290. 10.1088/0266-5611/21/4/005

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Abstract

It is well known that knowing the Dirichlet–Dirichlet eigenvalues and the Dirichlet–Neumann eigenvalues determines uniquely the potential of a one-dimensional Schrödinger equation on a finite interval. We investigate here how well a potential may be approximated if only N of each type of eigenvalues are known to within an error ε.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Publisher:	Institute of Physics and IOP Publishing Limited
ISSN:	13616420
Last Modified:	17 Oct 2022 08:59
URI:	https://orca.cardiff.ac.uk/id/eprint/1690

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