On control-constrained parabolic optimal control problems on evolving surfaces - theory and variational discretization

@article{Vierling2011OnCP,
  title={On control-constrained parabolic optimal control problems on evolving surfaces - theory and variational discretization},
  author={Morten Vierling},
  journal={CoRR},
  year={2011},
  volume={abs/1106.0622}
}
We consider control-constrained linear-quadratic optimal control problems on evolving hypersurfaces in R. In order to formulate well-posed problems, we prove existence and uniqueness of weak solutions for the state equation, in the sense of vector-valued distributions. We then carry out and prove convergence of the variational discretization of a distributed optimal control problem. In the process, we investigate the convergence of a fully discrete approximation of the state equation, and… CONTINUE READING
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