Determining the unbounded potential in the two-dimensional Schr\"odinger equation from Cauchy data
classification
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keywords
determiningequationodingerpotentialresultschrtwo-dimensionalunbounded
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We prove a uniqueness result for determining an unbounded potential in the two-dimensional Schr\"odinger equation using the corresponding Dirichlet-to-Neumann map. Our proof relies on a specific Carleman inequality. We also provide a quantitative version of the uniqueness result.
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