Boundary control of time-harmonic eddy current equations

@article{Antil2022BoundaryCO,
  title={Boundary control of time-harmonic eddy current equations},
  author={Harbir Antil and Hugo D'iaz},
  journal={ArXiv},
  year={2022},
  volume={abs/2209.15129}
}
. Motivated by various applications, this article develops the notion of boundary control for Maxwell’s equations in the frequency domain. Surface curl is shown to be the appropriate regularization in order for the optimal control problem to be well-posed. Since, all underlying variables are assumed to be complex valued, the standard results on differentiability do not directly apply. Instead, we extend the notion of Wirtinger derivatives to complexified Hilbert spaces. Optimality conditions are… 

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