Local exact controllability of the LLG equation on T^2 is shown for small initial energy via stereographic projection, Carleman estimates on the linearized system, and Kakutani fixed-point for the nonlinear case.
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Local Exact Controllability of Landau-Lifshitz-Gilbert Equation
Local exact controllability of the LLG equation on T^2 is shown for small initial energy via stereographic projection, Carleman estimates on the linearized system, and Kakutani fixed-point for the nonlinear case.