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arxiv: 1311.6947 · v2 · pith:WZR6H7HKnew · submitted 2013-11-27 · 🧮 math.AP

The inverse Robin boundary value problem in a half-space

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keywords problemhalf-spaceinversepotentialrobinassumedboundarycompactly
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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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