A constructive algorithm recovers the magnetic field curl V of a magnetic Schrödinger operator on a compact submanifold of the cylinder R × T^d, d ≥ 3, from Dirichlet-to-Neumann boundary data, under compact-support and vanishing-moment conditions.
Haberman , Inverse problems with rough data , PhD Thesis, University of California, Berkeley, Berkeley, CA, May 2015
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Reconstruction of the magnetic field for a Schr\"odinger operator in a cylindrical setting
A constructive algorithm recovers the magnetic field curl V of a magnetic Schrödinger operator on a compact submanifold of the cylinder R × T^d, d ≥ 3, from Dirichlet-to-Neumann boundary data, under compact-support and vanishing-moment conditions.