Analysis of Optimal Control Problems for the Two-Dimensional Thermistor System

@article{Lee2005AnalysisOO,
  title={Analysis of Optimal Control Problems for the Two-Dimensional Thermistor System},
  author={Hyung-Chun Lee and Timofey Shilkin},
  journal={SIAM J. Control and Optimization},
  year={2005},
  volume={44},
  pages={268-282}
}
An optimal control problem for the thermistor system is considered. First, the precise mathematical problem is established and the proof of existence of the optimal solution is given with appropriate function spaces. Then, Gâteaux differentiability is shown for the thermistor system, with respect to control, and the optimality system is obtained. 

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