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

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Abstract

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 of 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.
Original languageEnglish
Place of PublicationAalborg
PublisherDepartment of Mathematical Sciences, Aalborg University
Number of pages13
Publication statusPublished - 2004
SeriesResearch Report Series
NumberR-2004-22
ISSN1399-2503

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