Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications

@inproceedings{Nersesyan2009GlobalAC,
  title={Global approximate controllability for Schr{\"o}dinger equation in higher Sobolev norms and applications},
  author={Vahagn Nersesyan},
  year={2009}
}
  • Vahagn Nersesyan
  • Published 2009
We prove that the Schrödinger equation is approximately controllable in Sobolev spaces Hs, s > 0 generically with respect to the potential. We give two applications of this result. First, in the case of one space dimension, combining our result with a local exact controllability property, we get the global exact controllability of the system in higher Sobolev spaces. Then we prove that the Schrödinger equation with a potential which has a random time-dependent amplitude admits at most one… CONTINUE READING
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