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Partial Data Inverse Problems for Nonlinear Magnetic Schrödinger Equations (2007.02475v1)
Published 6 Jul 2020 in math.AP
Abstract: We prove that the knowledge of the Dirichlet-to-Neumann map, measured on a part of the boundary of a bounded domain in $\mathbb{R}n, n\geq2$, can uniquely determine, in a nonlinear magnetic Schr\"odinger equation, the vector-valued magnetic potential and the scalar electric potential, both being nonlinear in the solution.
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