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

Marletta, Marco 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: Mathematics
Publisher: Institute of Physics and IOP Publishing Limited
ISSN: 13616420
Last Modified: 01 Feb 2019 23:19
URI: http://orca-mwe.cf.ac.uk/id/eprint/1690

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