Determining a Magnetic Schrödinger Operator with a Continuous Magnetic Potential from Boundary Measurements
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چکیده
We show that the knowledge of the set of the Cauchy data on the boundary of a C bounded open set in R, n ≥ 3, for the Schrödinger operator with continuous magnetic and bounded electric potentials determines the magnetic field and electric potential inside the set uniquely. The proof is based on a Carleman estimate for the magnetic Schrödinger operator with a gain of two derivatives.
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تاریخ انتشار 2012