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.
Editor-in-Chief: Kabanikhin, Sergey I.
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Reconstruction from one boundary measurement of a potential homogeneous of degree zero
∗Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, 9220 Aalborg, Denmark. E-mails: cornean@math.aau.dk, kim@math.aau.dk
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 13, Issue 5, Pages 413–423, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939405775297498,
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