The inverse Robin boundary value problem in a half-space

We study the inverse Robin problem for the Schr\"odinger equation in a half-space. The potential is assumed to be compactly supported. We first solve the direct problem for dimensions two and three. We then show that the Robin-to-Robin map uniquely determines the potential q.

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Bibliographic Details
Published inarXiv.org
Main Authors Päivärinta, Lassi, Zubeldia, Miren
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 09.06.2014
Subjects
Boundary value problems
Half spaces
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Summary:We study the inverse Robin problem for the Schr\"odinger equation in a half-space. The potential is assumed to be compactly supported. We first solve the direct problem for dimensions two and three. We then show that the Robin-to-Robin map uniquely determines the potential q.
ISSN:2331-8422