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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 12
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Articles

The inverse Robin boundary value problem in a half-space

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Pages 2565-2587 | Received 09 Jun 2014, Accepted 05 Dec 2014, Published online: 22 Jan 2015
 

Abstract

We study the inverse Robin problem for the Schrödinger equation in a half-space. The potential differing from a constant 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 .

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Acknowledgement

The authors would like to express their gratitude to Katya Krupchyk for helpful and useful comments on the paper.

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