Hölder stable determination of a quantum scalar potential in unbounded cylindrical domains

Published 21 Nov 2013 in math.AP | (1311.5323v1)

Abstract: We consider the inverse problem of determining the time independent scalar potential of the dynamic Schr\"odinger equation in an infinite cylindrical domain from one boundary Neumann observation of the solution. We prove H\"older stability by choosing the Dirichlet boundary condition suitably.

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