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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Volume 13, Issue 5 (Oct 2005)


Reconstruction from one boundary measurement of a potential homogeneous of degree zero

H. Cornean / K. Knudsen

We consider the inverse boundary value problem concerning the determination and reconstruction of an unknown potential in a Schrödinger equation in a bounded domain from measurements on the boundary the domain. For the special case of a small potential homogeneous of degree zero we show that one boundary measurement determines the potential uniquely. Moreover, we give a reconstruction procedure.

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Published in Print: 2005-10-01

Citation Information: Journal of Inverse and Ill-posed Problems jiip, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/156939405775297498.

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