Abstract
In this paper we show, in dimension n ≥ 3, that knowledge of the Cauchy data for the Schrödinger equation in the presence of a magnetic potential, measured on possibly very small subsets of the boundary, determines uniquely the magnetic field and the electric potential. We follow the general strategy of [7] using a richer set of solutions to the Dirichlet problem that has been used in previous works on this problem.
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Communicated by P. Constantin
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Ferreira, D.D.S., Kenig, C.E., Sjöstrand, J. et al. Determining a Magnetic Schrödinger Operator from Partial Cauchy Data. Commun. Math. Phys. 271, 467–488 (2007). https://doi.org/10.1007/s00220-006-0151-9
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DOI: https://doi.org/10.1007/s00220-006-0151-9