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