Optimal Control of a Semilinear PDE with Nonlocal Radiation Interface Conditions

@article{Meyer2006OptimalCO,
  title={Optimal Control of a Semilinear PDE with Nonlocal Radiation Interface Conditions},
  author={Christian Meyer and P. Philip and Fredi Tr{\"o}ltzsch},
  journal={SIAM J. Control and Optimization},
  year={2006},
  volume={45},
  pages={699-721}
}
Abstract. We consider a control constrained optimal control problem governed by a semilinear elliptic equation with nonlocal interface conditions. These conditions occur during the modeling of diffuse-gray conductive-radiative heat transfer. The problem arises from the aim to optimize the temperature gradient within crystal growth by the physical vapor transport (PVT) method. Based on a minimum principle for the semilinear equation as well as L-estimates for the weak solution, we establish the… CONTINUE READING

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