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arxiv: 1404.1275 · v1 · pith:BRJN5CTEnew · submitted 2014-04-04 · 🧮 math.AP

Global stability for a coupled physics inverse problem

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keywords equationglobalinverseproblemstabilityaccessallowedarbitrary
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We prove a global H\"older stability estimate for a hybrid inverse problem combining microwave imaging and ultrasound. The principal features of this result are that we assume to have access to measurements associated to a single, arbitrary and possibly sign changing solution of a Schr\"odinger equation, and that zero is allowed to be an eigenvalue of the equation.

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